All Stories

  1. Central stable range one for elements and rings
  2. An idempotent not conjugate with its complementary idempotent
  3. On perspective Abelian groups
  4. Matrix invertible extensions over commutative rings. Part I: General theory
  5. On the equation $a^{2}x=a$ in unital rings
  6. 2-Products of Idempotent by Nilpotent Matrices
  7. The formula $$ABA=Tr(AB)A$$ for matrices
  8. Idempotents which are products of two nilpotents
  9. Abelian groups with C2
  10. Similarity for 2 × 2 Matrices Obtained by Clockwise “Rotation”
  11. Dependent rings
  12. Unipotent diagonalization of matrices
  13. On unit stable range matrices
  14. Utumi Abelian groups
  15. Rings Whose Clean Elements are Uniquely Clean
  16. On idempotent stable range 1 matrices
  17. 3×3 idempotent matrices over some domains and a conjecture on nil-clean matrices
  18. On Zero Determinant Matrices that are Full
  19. Singular matrices that are products of two idempotents or products of two nilpotents
  20. ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS
  21. Rings with fine nilpotents
  22. On Unit Fine Rings
  23. Are nil-clean 3 × 3 integral matrices, exchange?
  24. The nil-clean 2 × 2 integral units
  25. Jacobsons Lemma fails for nil-clean 2 × 2 integral matrices
  26. Rings with fine idempotents
  27. Solitary subgroups of Abelian groups
  28. Trace 1, 2×2 matrices over principal ideal domains are exchange
  29. Matrices that are similar to their inverses
  30. Strictly Invariant Submodules
  31. Idempotent matrices with invertible transpose
  32. A new class of nil-clean elements which are exchange
  33. Abelian groups with left morphic endomorphism ring
  34. Subgroups generated by images of endomorphisms of Abelian groups and duality
  35. Tripotents: a class of strongly clean elements in rings
  36. Clean integral 2 × 2 matrices
  37. Strongly inert subgroups of abelian groups
  38. Uniquely clean 2×2 invertible integral matrices
  39. UN-rings
  40. Some matrix completions over integral domains
  41. Fine rings: A new class of simple rings
  42. Sums of nilpotent matrices
  43. Pseudo injective abelian groups
  44. STRONGLY INVARIANT SUBGROUPS
  45. A nil-clean 2 × 2 matrix over the integers which is not clean
  46. Nil-clean matrix rings
  47. Between Morphic and Hopfian
  48. Type 1 representable lattices of dimension at most 4
  49. On Abelian Groups with commutative clean endomorphism rings
  50. Realization Theorems for Triangular Rings
  51. MODULES WITH ABELIAN ENDOMORPHISM RINGS
  52. MORPHIC ABELIAN GROUPS
  53. Rings with Lattices of Idempotents
  54. SPLIT-EXTENSIONS OF EXCHANGE RINGS: A DIRECT PROOF
  55. Every Abelian group is determined by a subgroup lattice
  56. A solution to a problem on lattice isomorphic Abelian groups
  57. Endomorphisms and automorphisms of squares of abelian groups
  58. Abelian groups determined by subgroup lattices of direct powers
  59. Abelian groups whose subgroup lattice is the union of two intervals
  60. ABELIAN GROUPS WITH SEMI-LOCAL ENDOMORPHISM RING