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 - <p style="text-align: justify;">In this paper, we study ∗-simple type $A$ $ω^2$-semigroups in which&nbsp;$\mathcal{D}^∗ =&nbsp;\widetilde{D}$&nbsp;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.</p>