@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} }