2 citations · 3 across the 4 of their papers we have counts for
6 papers
Gorenstein homological properties of n-trivial extensions of rings
Lixin Mao
We explicitly investigate Gorenstein projective, injective and flat modules over the -trivial extension of a ring by an -bimodule . Assume that $fd(M^{…
Homological aspects of n-trivial extensions of rings
Lixin Mao
Let be the -trivial extension of a ring by an -bimodule . We first characterize projective, injective, flat and finitely generated modules over $R\ltim…
On w-copure projective modules
Refat Abdelmawla Khaled Assaad, Mohammed Tamekkante, Lixin Mao
Let be a commutative ring. An -module is said to be -split if Ext is a GV-torsion -module for all -modules . It is known that every projective m…
Gorenstein projective, injective and flat modules over trivial ring extensions
Lixin Mao
We introduce the concepts of generalized compatible and cocompatible bimodules in order to characterize Gorenstein projective, injective and flat modules over trivial ring extensio…
Ding modules and dimensions over formal triangular matrix rings
Lixin Mao
Let be a formal triangular matrix ring, where and are rings and is a -bimodule. We prove that: (1) If $U…
On proper and exact relative homological dimensions
Driss Bennis, J. R. Garcia Rozas, Lixin Mao +1
In Enochs' relative homological dimension theory occur the so called (co)resolvent and (co)proper dimensions which are defined using proper and coproper resolutions constructed by…