26 citations · 54 across the 16 of their papers we have counts for
18 papers
Graphs of Commutatively Closed Sets
André Leroy, Mona Abdi
The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively c…
Remarks on separativity of regular rings
A. Alahmadi, S. K. Jain, A. Leroy
Separative von Neumann regular rings exist in abundance. For example, all regular self-injective rings, unit regular rings, regular rings with a polynomial identity are separative.…
Regular elements determined by generalized inverses
Adel Alahmadi, S. K. Jain, André Leroy
In a semiprime ring, von Neumann regular elements are determined by their inner inverses. In particular, for elements of a von Neumann regular ring , if and only if…
On UJ-rings
M. Tamer Kosan, Andre Leroy, Jerzy Matczuk
UJ-rings are studied, i.e. ring in which all units can be presented in a form 1 + x, for some x\in J(R). The behavior of UJ-rings under various algebraic construction is investigat…
(Sigma-Delta) Codes
M. Boulagouaz, A. Leroy
In this paper we introduce the notion of cyclic ()-codes for $f(t)\in \Ore$. These codes generalize the -codes as introduced by D. Boucher, F. Ulmer, W. Geiselmann \ci…
Decomposition of Singular Matrices into Idempotents
Adel Alahmadi, Surender Jain, André Leroy
In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations f…