[HTML][HTML] Virtually uniserial modules and rings
M Behboodi, A Moradzadeh-Dehkordi, MQ Nejadi - Journal of Algebra, 2020 - Elsevier
We study the class of virtually uniserial modules and rings as a nontrivial generalization of
uniserial modules and rings. An R-module M is virtually uniserial if for every finitely …
uniserial modules and rings. An R-module M is virtually uniserial if for every finitely …
Noetherian rings whose modules are prime serial
M Behboodi, Z Fazelpour - Algebras and Representation Theory, 2017 - Springer
A theorem due to Nakayama and Skornyakov states that “a ring R is an Artinian serial ring if
and only if all left R-modules are serial” and a theorem due to Warfield state that “a …
and only if all left R-modules are serial” and a theorem due to Warfield state that “a …
Rings all of whose prime serial modules are serial
It is well known that the concept of left serial ring is a Morita invariant property and a theorem
due to Nakayama and Skornyakov states that “for a ring R, all left R-modules are serial if and …
due to Nakayama and Skornyakov states that “for a ring R, all left R-modules are serial if and …