Structures paragraduées (groupes, anneaux, modules). III. (Paragraded structures (groups, rings, modules). III)
type: Item
instance of: scholarly article
title: Structures paragraduées (groupes, anneaux, modules). III. (Paragraded structures (groups, rings, modules). III)
zbMATH Open document ID: 0616.08003
author: Marc Krasner
author: Mirjana Vuković
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: [For Parts I and II see the preceding reviews.] Paragraded rings are introduced as rings \((A,+,.)\) equipped with a paragraduation \(\pi\) such that for any x,y\(\in \Delta\) there is a \(z\in \Delta\) such that \(A_ xA_ y\subset A_ z\). From a semihomogeneous point of view an explicit characterization of paragraded rings is formulated by a list of 5 conditions. Paraneids, extraneids, quasineids, paragraded modules, extragraded modules are defined as well.
Mathematics Subject Classification ID: 08A05
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 20L05
Mathematics Subject Classification ID: 17A99
zbMATH DE Number: 3997874
zbMATH Keywords: paragraded rings
zbMATH Keywords: paragraded modules
zbMATH Keywords: extragraded modules
MaRDI profile type: Publication
full work available at URL: pjaa.63.10
OpenAlex ID: W4247641528
cites work: Q5669413
cites work: Q5840279
cites work: Q3671316
cites work: Q4744235
DOI: 10.3792/PJAA.63.10
Recommended article: Structures paragraduées (groupes, anneaux, modules). I. (Paragraded structures (groups, rings, modules). I)
Recommended article: Q3762382
Recommended article: Structures paragraduées (groupes, anneaux, modules). II. (Paragraded structures (groups, rings, modules). II)
Recommended article: On the categories of paragraded groups and modules of type Δ
Recommended article: Q5184984
Recommended article: Q4549922
Recommended article: Group-graded regular \(R\)-modules and \(R\#G^*\)-modules
Recommended article: A module structure on cyclic cohomology of group graded algebras
Recommended article: Extensions de modules et cohomologie des groupes. (Extensions of modules and cohomology of groups)
Recommended article: Q3472233
description: scientific article; zbMATH DE number 3997874