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math.GR2021
On unit-regular elements in various monoids of transformations
Mosarof Sarkar, Shubh N. Singh
Let be an arbitrary set and let denote the full transformation monoid on . We prove that an element of is unit-regular if and only if it is semi-balanced. For…
math.GR2019★ 3 cited
The degree of a vertex in the power graph of a finite abelian group
Amit Sehgal, Shubh N. Singh
The power graph of a given finite group is a simple undirected graph whose vertex set is the group itself, and there is an edge between any two distinct vertices if one is a power…