id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5085	Laaraj, Mounir; Abdelalim, Seddik 	On the Self-injectivity and CM-free of an Artin Algebra with Radical Cubic Zero	2024	9	.pdf	application/pdf	3100	159	70	An important invariant in our subject is the radical square of the projective cover of the first syzygy of each simple A-module and each Gorenstein-projective A-module that we consider here to be 0, so by a formula characterizing the calculation of the radical of syzygy of an indecomposable A-module of Lowey length 2, that is to say from the square radical 0, we will extend this calculation to a Gorenstein-projective A-module and by char- acterization of the latter, we construct a family (Si)i∈J of simple A-modules non-projective and Gorenstein-projective and the family (Pi)i∈J of projective modules such that each Pi is associated to Si. An A-module M in mod(A) is said Gorenstein-projective provided that there is a totally acyclic complex (P⋆) of projective modules such that its 0-th cocycle Z0(P⋆) is isomorphic to M .	cache/ejpam-5085.pdf	txt/ejpam-5085.txt