For a semidualizing module C over a ring R, the class of GC–projectives, GC, the Auslander
class AC and the Bass class BC, modulo an exact zero–divisor, are studied. For an R …

Full article: Auslander Class, GC , and C–projective Modules Modulo Exact Zero-divisors Skip to
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This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

In this paper modules with ascending chain condition (acc)(respectively, with descending
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …

In this paper, the notion of strongly G_C-projective and injective modules is introduced,
where C is a semidualizing module. Using these modules we can obtain a new …

Let R and S be rings and _SC_R a faithfully semidualizing bimodule. A left S-module M is
called Ding C-projective if there exists an exact sequence of C-projective left S-modules …

Given an R-module C and a class of R-modules 𝒟 over a commutative ring R, we investigate
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …

We study the concepts of the 𝒫 C-projective and the ℐ C-injective dimensions of a module in
the noncommutative case, weakening the condition of C being semidualizing. We give the …

A right R-module M is called R-projective provided that it is projective relative to the right R-
module R. One of the parts of this thesis deals with the rings whose all nonsingular right …

A right R-module M is called R-projective provided that it is projective relative to the right R-
module RR. One of the parts of this thesis deals with the rings whose all nonsingular right …