All Stories

  1. Unitally nondistributive quantales

    Article • Portugaliae Mathematica, February 2025, European Mathematical Publishing House

    Dr Javier Gutiérrez García

  2. Right algebras in Sup and the topological representation of semi-unital and semi-integral quantales, revisited

    Article • Mathematica Slovaca, April 2024, De Gruyter

    Dr Javier Gutiérrez García

  3. Enriched lower separation axioms and the principle of enriched continuous extension

    Article • Fuzzy Sets and Systems, September 2023, Elsevier

    Dr Javier Gutiérrez García

  4. A theory of quantale-enriched dcpos and their topologization

    Article • Fuzzy Sets and Systems, September 2022, Elsevier

    Dr Javier Gutiérrez García

  5. On the categorical behaviour of locales and D-localic maps

    Article • Quaestiones Mathematicae, June 2022, Informa UK Limited

    Dr Javier Gutiérrez García

  6. Bidaia geometrikoa kurbetatik itsas maskorretara

    Article • EKAIA Euskal Herriko Unibertsitateko Zientzi eta Teknologi Aldizkaria, May 2022, UBC Press

    Dr Javier Gutiérrez García

  7. Some partial results on the cancellation law for the tensor product of complete lattices

    Article • Algebra Universalis, March 2022, Springer Science + Business Media

    Dr Javier Gutiérrez García

  8. Frame presentations of compact hedgehogs and their properties

    Article • Quaestiones Mathematicae, January 2022, Informa UK Limited

    Prof. Jorge Picado, Dr Javier Gutiérrez García

  9. Basic Concepts of Quantale-Enriched Topologies

    Article • Applied Categorical Structures, March 2021, Springer Science + Business Media

    Dr Javier Gutiérrez García

  10. Invariance of projective modules in $$\mathsf {Sup}$$ under self-duality

    Article • Algebra Universalis, January 2021, Springer Science + Business Media

    Dr Javier Gutiérrez García

  11. Perfect locales and localic real functions

    Article • Algebra Universalis, May 2020, Springer Science + Business Media

    Prof. Jorge Picado, Dr Javier Gutiérrez García

  12. Correction to: Some characterizations of the tensor product of complete lattices with applications to quantales

    Article • Semigroup Forum, February 2020, Springer Science + Business Media

    Dr Javier Gutiérrez García

  13. On hereditary properties of extremally disconnected frames and normal frames

    Article • Topology and its Applications, December 2019, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  14. Enriched topologies and topological representation of semi-unital and semi-integral quantales

    Article • Topology and its Applications, December 2019, Elsevier

    Dr Javier Gutiérrez García

  15. Some characterizations of the tensor product of complete lattices with applications to quantales

    Article • Semigroup Forum, September 2018, Springer Science + Business Media

    Dr Javier Gutiérrez García

  16. Fuzzy Galois connections on fuzzy sets

    Article • Fuzzy Sets and Systems, August 2018, Elsevier

    Dr Javier Gutiérrez García

  17. Hedgehog frames and a cardinal extension of normality

    Article • Journal of Pure and Applied Algebra, August 2018, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  18. An extension of the fuzzy unit interval to a tensor product with completely distributive first factor ☆ ☆The authors gratefully acknowledge support from the Ministry of Economy and Competitiveness of Spain (grant MTM2015-63608-P (MINECO/FEDER)). The fi...

    Article • Fuzzy Sets and Systems, July 2018, Elsevier

    Dr Javier Gutiérrez García

  19. Fundamentals of Quantales

    Article • January 2018, Springer Science + Business Media

    Dr Javier Gutiérrez García

  20. Semigroups in Complete Lattices

    Article • January 2018, Springer Science + Business Media

    Dr Javier Gutiérrez García

  21. Foundations

    Article • January 2018, Springer Science + Business Media

    Dr Javier Gutiérrez García

  22. Module Theory in $${\mathtt {Sup}}$$Sup

    Article • January 2018, Springer Science + Business Media

    Dr Javier Gutiérrez García

  23. Complete many-valued lattices

    Article • July 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Dr Javier Gutiérrez García

  24. Non-commutativity and many-valuedness: The topological representation of the spectrum of C∗-algebras

    Article • July 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Dr Javier Gutiérrez García

  25. On fuzzy uniformities induced by a fuzzy metric space

    Article • Fuzzy Sets and Systems, May 2017, Elsevier

    Dr Javier Gutiérrez García

  26. Perfectness in locales

    Article • Quaestiones Mathematicae, April 2017, Taylor & Francis

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  27. A unified view of the Dedekind completion of pointfree function rings

    Article • Quaestiones Mathematicae, November 2016, Taylor & Francis

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  28. The Wijsman topology of a fuzzy metric space

    Article • Fuzzy Sets and Systems, October 2016, Elsevier

    Dr Javier Gutiérrez García

  29. Tensor products of complete lattices and their application in constructing quantales

    Article • Fuzzy Sets and Systems, April 2016, Elsevier

    Dr Javier Gutiérrez García

  30. Zenbaki errealak eraikitzen

    Article • EKAIA Euskal Herriko Unibertsitateko Zientzi eta Teknologi Aldizkaria, March 2016, UBC Press

    Dr Javier Gutiérrez García

  31. Normal semicontinuity and the Dedekind completion of pointfree function rings

    Article • Algebra Universalis, March 2016, Springer Science + Business Media

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  32. Presenting the frame of the unit circle

    Article • Journal of Pure and Applied Algebra, March 2016, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  33. Forty years of Hutton fuzzy unit interval

    Article • Fuzzy Sets and Systems, December 2015, Elsevier

    Dr Javier Gutiérrez García

  34. Continuous Representability of Interval Orders: The Topological Compatibility Setting

    Article • International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, June 2015, World Scientific Pub Co Pte Lt

    Dr Javier Gutiérrez García

  35. On the Dedekind completion of function rings

    Article • Forum Mathematicum, January 2015, De Gruyter

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  36. Inserting measurable functions precisely

    Article • Czechoslovak Mathematical Journal, September 2014, Institute of Mathematics, Czech Academy of Sciences

    Dr Javier Gutiérrez García

  37. A preservation result for completely regular locales

    Article • Topology and its Applications, May 2014, Elsevier

    Dr Javier Gutiérrez García

  38. On the parallel between normality and extremal disconnectedness

    Article • Journal of Pure and Applied Algebra, May 2014, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  39. Monotone normality and stratifiability from a pointfree point of view

    Article • Topology and its Applications, May 2014, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  40. Insertion and extension theorems for completely distributive lattice valued functions

    Article • Commentationes Mathematicae, December 2013, Polish Mathematical Society

    Dr Javier Gutiérrez García

  41. FURTHER RESULTS ON THE CONTINUOUS REPRESENTABILITY OF SEMIORDERS

    Article • International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, October 2013, World Scientific Pub Co Pte Lt

    Dr Javier Gutiérrez García

  42. An identification theorem for the completion of the Hausdorff fuzzy metric

    Article • Fuzzy Sets and Systems, September 2013, Elsevier

    Dr Javier Gutiérrez García

  43. Semiorders with separability properties

    Article • Journal of Mathematical Psychology, December 2012, Elsevier

    Dr Javier Gutiérrez García

  44. Numerical representability of fuzzy total preorders

    Article • International Journal of Computational Intelligence Systems, November 2012, Atlantis Press

    Dr Javier Gutiérrez García

  45. Preserving continuity by Zadeh extension and invariance of separation axioms under surjections

    Article • Fuzzy Sets and Systems, October 2012, Elsevier

    Dr Javier Gutiérrez García

  46. Standard fuzzy uniform structures based on continuous t-norms

    Article • Fuzzy Sets and Systems, May 2012, Elsevier

    Dr Javier Gutiérrez García

  47. Extended real functions in pointfree topology

    Article • Journal of Pure and Applied Algebra, April 2012, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  48. Numerical Representation of Semiorders

    Article • Order, March 2012, Springer Science + Business Media

    Dr Javier Gutiérrez García

  49. Topological calculus for separating points from closed sets by maps

    Article • Czechoslovak Mathematical Journal, March 2012, Institute of Mathematics, Czech Academy of Sciences

    Dr Javier Gutiérrez García

  50. Separating families of locale maps and localic embeddings

    Article • Algebra Universalis, February 2012, Springer Science + Business Media

    Dr Javier Gutiérrez García

  51. Rings of real functions in pointfree topology

    Article • Topology and its Applications, November 2011, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  52. Quasi-metrics and monotone normality

    Article • Topology and its Applications, September 2011, Elsevier

    Dr Javier Gutiérrez García

  53. General insertion and extension theorems for localic real functions

    Article • Journal of Pure and Applied Algebra, June 2011, Elsevier

    Dr Javier Gutiérrez García

  54. On the uniformization of lattice-valued frames

    Article • Fuzzy Sets and Systems, March 2011, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  55. Insertion and extension theorems for lattice-valued functions on preordered topological spaces

    Article • Topology and its Applications, January 2011, Elsevier

    Dr Javier Gutiérrez García

  56. Examples of non-strong fuzzy metrics

    Article • Fuzzy Sets and Systems, January 2011, Elsevier

    Dr Javier Gutiérrez García

  57. A tribute to Ulrich Höhle on the occasion of his 65th birthday

    Article • Fuzzy Sets and Systems, September 2010, Elsevier

    Dr Javier Gutiérrez García

  58. Ideal-valued topological structures

    Article • Fuzzy Sets and Systems, September 2010, Elsevier

    Dr Javier Gutiérrez García

  59. On lattice-valued frames: The completely distributive case

    Article • Fuzzy Sets and Systems, April 2010, Elsevier

    Dr Javier Gutiérrez García

  60. Fuzzy uniform structures and continuous t-norms

    Article • Fuzzy Sets and Systems, April 2010, Elsevier

    Dr Javier Gutiérrez García

  61. Fuzzy Galois connections categorically

    Article • Mathematical Logic Quarterly, March 2010, Wiley

    Dr Javier Gutiérrez García

  62. Completely normal frames and real-valued functions

    Article • Topology and its Applications, December 2009, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  63. Insertion of Continuous Real Functions on Spaces, Bispaces, Ordered Spaces and Pointfree Spaces—A Common Root

    Article • Applied Categorical Structures, September 2009, Springer Science + Business Media

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  64. Unified Representability of Total Preorders and Interval Orders through a Single Function: The Lattice Approach

    Article • Order, July 2009, Springer Science + Business Media

    Dr Javier Gutiérrez García

  65. Localic real functions: A general setting

    Article • Journal of Pure and Applied Algebra, June 2009, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  66. UNIVERSAL CODOMAINS TO REPRESENT INTERVAL ORDERS

    Article • International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, April 2009, World Scientific Pub Co Pte Lt

    Dr Javier Gutiérrez García

  67. Lower and upper regularizations of frame semicontinuous real functions

    Article • Algebra Universalis, February 2009, Springer Science + Business Media

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  68. Pointfree forms of Dowker’s and Michael’s insertion theorems

    Article • Journal of Pure and Applied Algebra, January 2009, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  69. Uniform-type structures on lattice-valued spaces and frames

    Article • Fuzzy Sets and Systems, October 2008, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  70. Monotone normality free of T 1 axiom

    Article • Acta Mathematica Hungarica, July 2008, Springer Science + Business Media

    Dr Javier Gutiérrez García

  71. A new look at some classical theorems on continuous functions on normal spaces

    Article • Acta Mathematica Hungarica, June 2008, Springer Science + Business Media

    Dr Javier Gutiérrez García

  72. Monotone insertion and monotone extension of frame homomorphisms

    Article • Journal of Pure and Applied Algebra, May 2008, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  73. Sandwich-type characterization of completely regular spaces

    Article • Applied General Topology, October 2007, Universitat Politecnica de Valencia

    Dr Javier Gutiérrez García

  74. Completeness of Hutton -quasi-uniform spaces

    Article • Fuzzy Sets and Systems, August 2007, Elsevier

    Dr Javier Gutiérrez García

  75. On the algebraic representation of semicontinuity

    Article • Journal of Pure and Applied Algebra, August 2007, Elsevier

    Dr Javier Gutiérrez García, Prof. Jorge Picado

  76. Further results on L-valued filters

    Article • Chaos Solitons & Fractals, January 2007, Elsevier

    Dr Javier Gutiérrez García

  77. Hutton -quasi-uniformities induced by fuzzy (quasi-)metric spaces

    Article • Fuzzy Sets and Systems, March 2006, Elsevier

    Dr Javier Gutiérrez García

  78. On stratified L-valued filters induced by -filters

    Article • Fuzzy Sets and Systems, March 2006, Elsevier

    Dr Javier Gutiérrez García

  79. Insertion of lattice-valued and hedgehog-valued functions

    Article • Topology and its Applications, March 2006, Elsevier

    Dr Javier Gutiérrez García

  80. Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued “intuitionistic” sets, “intuitionistic” fuzzy sets and topologies

    Article • Fuzzy Sets and Systems, December 2005, Elsevier

    Dr Javier Gutiérrez García

  81. Characteristic values of -filters

    Article • Fuzzy Sets and Systems, November 2005, Elsevier

    Dr Javier Gutiérrez García

  82. A Unified Approach To The Concept Of Fuzzy L-Uniform Space

    Article • January 2003, Springer Science + Business Media

    Dr Javier Gutiérrez García

  83. Generalised filters 2

    Article • Fuzzy Sets and Systems, September 1999, Elsevier

    Dr Javier Gutiérrez García

  84. Generalised filters I

    Article • Fuzzy Sets and Systems, September 1999, Elsevier

    Dr Javier Gutiérrez García

  85. The Relationship Between Various Filter Notions on aGL-Monoid

    Article • Journal of Mathematical Analysis and Applications, February 1999, Elsevier

    Dr Javier Gutiérrez García

  86. Extensions Of Uniform Space Notions

    Article • January 1999, Springer Science + Business Media

    Dr Javier Gutiérrez García

  87. EMBEDDINGS INTO THE CATEGORY OF SUPER UNIFORM SPACES

    Article • Quaestiones Mathematicae, October 1997, Taylor & Francis

    Dr Javier Gutiérrez García

  88. EVEN FUZZY TOPOLOGIES and RELATED STRUCTURES

    Article • Quaestiones Mathematicae, October 1997, Taylor & Francis

    Dr Javier Gutiérrez García

  89. SUPER UNIFORM SPACES

    Article • Quaestiones Mathematicae, October 1997, Taylor & Francis

    Dr Javier Gutiérrez García

  90. Variants of normality and their duals: a pointfree unification of insertion and extension theorems for real-valued functions

    Article • EasyChair

    Dr Javier Gutiérrez García