Now showing items 1-3 of 3
On Artinian Rings With Restricted Class Of Injectivity Domains
(Academic Press Inc Elsevier Science, 2013)
In a recent paper of Alahmadi, Alkan and Lopez-Permouth, a ring R is defined to have no (simple) middle class if the injectivity domain of any (simple) R-module is the smallest or largest possible. Er, Lopez-Permouth and ...
Rings Whose Cyclic Modules Are Direct Sums Of Extending Modules
(Cambridge Univ Press, 2012)
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Every cyclic right module is a direct sum of uniform modules. We first prove the following improvement of the well-known ...
Rings Close To Semiregular
(Korean Mathematical Soc, 2012)
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R/J satisfies ...