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BQ-elements of some semigroups
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A -element of a semigroup is an element such that the bi-ideal and the quasi-ideal of generated by coincide, i.e., . -elements are a generalization of regular elements in semigroups. In this research, the -elements of the semigroup are characterized. We also characterize the -elements of some semigroups of transformations of sets and linear transformations. In addition, the -elements of the following semigroups are determined : (Zn,) , (Zn,) , (Zn,) , the additive interval semigroups and the multiplicative interval semigroups on ℝ.
Title: BQ-elements of some semigroups
Description:
A -element of a semigroup is an element such that the bi-ideal and the quasi-ideal of generated by coincide, i.
e.
, .
-elements are a generalization of regular elements in semigroups.
In this research, the -elements of the semigroup are characterized.
We also characterize the -elements of some semigroups of transformations of sets and linear transformations.
In addition, the -elements of the following semigroups are determined : (Zn,) , (Zn,) , (Zn,) , the additive interval semigroups and the multiplicative interval semigroups on ℝ.
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