3 papers
math.AC2024
Characterization and examples of commutative isoartinian rings
Asghar Daneshvar, Kamran Divaani-Aazar
Noetherian rings have played a fundamental role in commutative algebra, algebraic number theory, and algebraic geometry. Along with their dual, Artinian rings, they have many gener…
math.RA2016
Two Generalizations of the Wedderburn-Artin Theorem with Applications
Mahmood Behboodi, Asghar Daneshvar, Mohammad Reza Vedadi
We say that an -module is {\it virtually simple} if and for every non-zero submodule of , and {\it virtually semisimple} if each submodule of $…
math.RA2016
Virtually Semisimple Modules and a Generalization of the Wedderburn-Artin Theorem
Mahmood Behboodi, Asghar Daneshvar, Mohammad Reza Vedadi
By any measure, semisimple modules form one of the most important classes of modules and play a distinguished role in the module theory and its applications. One of the most fundam…