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