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math.GR2025
On the diameter and girth of zero-divisor graphs of inverse semigroups
Yanhui Wang, Xinyi Zhu, Pei Gao
Let be an inverse semigroup with zero and let be its set of non-zero divisors with respect to the natural partial order on , that is, $a \in Z(S)^\times…
math.GR2024
Network right * abundant semigroups
Yanhui Wang, Pei Gao, Xueming Ren
We introduce the class of network right -abundant semigroups. These are based on networks that extend the notion of a directed graph. This class properly contains the class of g…