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math.GR2021
On certain semigroups of transformations with an invariant set
Mosarof Sarkar, Shubh N. Singh
Let be a nonempty set and let be the full transformation semigroup on . The main objective of this paper is to study the subsemigroup of def…
math.GR2021
Unit-regular and semi-balanced elements in various semigroups of transformations
Mosarof Sarkar, Shubh N. Singh
Let be the full transformation semigroup on a set , and let be the semigroup under composition of all linear transformations on a vector space over a field. Fo…
math.GR2021★ 2 cited
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…