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Volume 29, Issue 3
A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I)

Yu Shang & Limin Wang

Commun. Math. Res., 29 (2013), pp. 218-230.

Published online: 2021-05

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  • 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.

  • AMS Subject Headings

20M10

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COPYRIGHT: © Global Science Press

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@Article{CMR-29-218, author = {Shang , Yu and Wang , Limin}, title = {A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I)}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19005.html} }
TY - JOUR T1 - A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I) AU - Shang , Yu AU - Wang , Limin JO - Communications in Mathematical Research VL - 3 SP - 218 EP - 230 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19005.html KW - type $A$ semigroup, ∗-simple $ω^2$-semigroup, generalized Bruck-Reilly extension. AB -

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.

Shang , Yu and Wang , Limin. (2021). A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I). Communications in Mathematical Research . 29 (3). 218-230. doi:
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