2 papers
math.RA2024
Decomposition of matrices into product of idempotents and separativity of regular rings
S. K. Jain, A. Leroy
Following O'Meara's result [Journal of Algebra and Its Applications Vol~\textbf{13}, No. 8 (2014)], it follows that the block matrix $A=\begin{pmatrix} B & 0 0 & 0 \end{pmatrix} \i…
math.RA2012
ADS modules
Adel Alahmadi, S. K. Jain, André Leroy
We study the class of ADS rings and modules introduced by Fuchs. We give some connections between this notion and classical notions such as injectivity and quasi-continuity. A simp…