arXiv:1202.0071v3 [math.AC] 16 Oct 2012 Page 1 arXiv:1202.0071v3 [math.AC] 16 Oct 2012
LIFTINGS AND QUASI-LIFTINGS OF DG MODULES SAEED NASSEH AND SEAN …

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Let n be a positive integer, and let A be a strongly commutative differential graded (DG)
algebra over a commutative ring R. Assume that B= A [X 1,…, X n] is a polynomial extension …

Abstract Let B= A< X| d X= t> be an extended DG algebra by the adjunction of a variable of
positive even degree n, and let N be a semi-free DG B-module that is assumed to be …

We consider commutative DG rings (better known as nonpositive strongly commutative
associative unital DG algebras). For such a DG ring $ A $ we define the notions of perfect …

The purpose of this study is to give an up-to-date presentation of known and new results on
extending modules and related notions with respect to an R-module class X. By assuming …

Discrete (quasi-discrete) modules form an important class in module theory, they are studied
extensively by many authors. The class of lifting modules is obtained by considering only …

A module M is called a D4-module if, whenever A and B are submodules of M with M= A⊕ B
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …

We call supplemented self-projective modules “strongly discrete modules.” We characterize
discrete and strongly discrete modules in terms of lifting of maps and prove some of their …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …