In this paper we study generalizations of the concept of puredirect-projectivity from module
categories to Grothendieck categories. We examine for which categories or under what …

In this paper we study generalizations of the concept of pure-direct-injectivity from module
categories to Grothendieck categories. We examine for which categories or under what …

On projectivity in locally presentable categories Page 1 Journal of Algebra 272 (2004) 701–710
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …

Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

We study in this work the notions of hopficity and cohopficity in the categories AGr (A− Mod)
and COMP (AGr (A− Mod)) of associate complex to a graded left A-module and we show …

The general theory of Grothendieck categories is presented. The Popescu-Gabriel
generalized theorem and theorems for projective generating families are proved. Due to …

Normality and quotient in crossed modules over groupoids and 2-groupoids - 한국수학
논문집 - 강원경기수학회 : 논문 - DBpia 메뉴 건너뛰기 DBpia 전체 search 검색하기 상세검색 …

Recently, some of the authors of the present note provided a generalization of Bumby's
theorem to the injectivity of modules over some classes of monomor-phisms. The question of …

In this paper, we investigate the homological properties of the functor categories (mod− R,
Ab) and ((mod− R) op, Ab). Some new homological dimensions in these functor categories …

Some Relations Between Crossed Modules and Simplicial Objects in Categories of Interest
Page 1 EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 7, No. 4, 2014 …