This book contains the definitions of several ring constructions used in various applications.
The concept of a groupoid-graded ring includes many of these constructions as special …

In this paper we consider categories over a commutative ring provided either with a free
action or with a grading of a not necessarily finite group. We define the smash product …

Let G be a group, let A=⊕ g∈ GA g be an epsilon-strongly graded ring over G, let R:= A 1 be
the homogeneous component associated with the identity of G, and let 𝙿𝚒𝚌𝚂⁢(R) be the …

Cet article commence par rappeler la description traditionnellement donnée en linguistique
du fonctionnement de l'anaphore pronominale puis montre que cette description, en termes …

Actions of Picard Groups on Graded Rings Page 1 Ž . Journal of Algebra 218, 573607 1999
Article ID jabr.1999.7862, available online at http:rrwww.idealibrary.com on Actions of Picard …

In this paper, we show that, although P2P systems and DSM systems have been designed in
rather different contexts, both can serve as major sources of inspiration for the design of a …

We investigate the Picard group of a structural matrix (or incidence) algebra A of a finite
preordered set P over a field and we consider five interrelated problems. Our main …

One of the possible reduction techniques in Graded Ring Theory is to reduce the study of a
graded ring to the study of another graded ring whose grading is simpler. An illustration of …

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