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Skew ring extensions and generalized monoid rings

journal contribution
posted on 2023-05-19, 23:06 authored by Cojuhari, EP, Barry GardnerBarry Gardner
A D-structure on a ring A with identity is a family of self-mappings indexed by the elements of a monoid G and subject to a long list of rather natural conditions. The mappings are used to define a generalization of the monoid algebra A[G]. We consider two of the simpler types of D-structure. The first is based on a homomorphism from G to End(A) and leads to a skew monoid ring. We also explore connections between these D-structures and normalizing and subnormalizing extensions. The second type of D-structure considered is built from an endomorphism of A. We use D-structures of this type to characterize rings which can be graded by a cyclic group of order 2.

History

Publication title

Acta Mathematica Hungarica

Volume

154

Pagination

343-361

ISSN

0236-5294

Department/School

School of Natural Sciences

Publisher

Akademiai Kiado

Place of publication

Po Box 245, Budapest, Hungary, H-1519

Rights statement

© 2001A8k Akademiai Kaido Budapest, Hungary

Repository Status

  • Restricted

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