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RELATIVE EXTENSIONS OF MODULES AND HOMOLOGY GROUPS* ВIДНОСНI
РОЗШИРЕННЯ МОДУЛIВ ТА ГОМОЛОГIЧНИ Page 1 UDC 512.58 Lixin Mao (Nanjing Inst …

In this paper certain central extensions of crossed modules are classified. For these
extensions, we obtain several results which extend the classical ones for central extensions …

n−Primary Submodules Page 1 Ali hadi Iraqi Journal of Science. Vol 54.No 3.2013.pp 836-841
836 Coregular Modules Inaam Mohammed Ali Hadi Department of Mathematics, College of …

A crossed module (T, G,∂) consist of a group homomorphism∂: T→ G together with an
action (g, t)→ gt of G on T satisfying∂(gt)= g∂(t) g− 1 and∂(s) t= sts− 1, for all g∈ G and s …

We study the problem of transfer of the properties of some types of modules under identity
preserving ring homomorphisms. These studies seem to be overlooked in the literature. We …

BV Novikov Communicated by LM Gluskin & O. Steinfeld Dedicated to ES Lyapin on his 70th
Birthday In the present paper a generalization of the notion of the semigroup cohomologies …

Following the idea of a group with action, in a higher dimension, we consider crossed
modules with a given crossed-module action upon itself. A category of these objects …

Let $\mathcal {M}=\{(M, N, f, Q)\mid M, N, Q\in R\text {-Mod},\, N\leq M,\, f\in\text {Hom} _
{R}(N, Q)\} $ and let $\mathcal {L} $ be a nonempty subclass of $\mathcal {M}. $ Jirásko …

In this paper, we state the notion of morphisms in the category of abelian crossed modules
and prove that this category is equivalent to the category of strict Picard categories and …