A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I)

A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I)

Year:    2013

Author:    Yu Shang, Limin Wang

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 218–230

Abstract

In this paper, we study ∗-simple type $A$ $ω^2$-semigroups in which $\mathcal{D}^∗ = \widetilde{D}$ and $\mathcal{D}^∗|_{E_S} = \mathcal{M}_d$ by the generalized Bruck-Reilly extension and obtain its structure theorem. We also obtain a criterion for isomorphisms of two such semigroups.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19005

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 218–230

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    type $A$ semigroup ∗-simple $ω^2$-semigroup generalized Bruck-Reilly extension.

Author Details

Yu Shang

Limin Wang