Regularity of Variants of Semigroups of Full Transformations with Restriction on Fixed set is Bijective
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Abstract
The variant of a semigroup with respect to an element a
, is the semigroup with underlying set
and a new operation
defined by
for
. Let
be the full transformation semigroup of the nonempty set and let
where and
is the permutation group on
. In this paper, we investigate regular, left regular and right regular elements for the variant of the semigroup
.
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