Cubic quasi-ideal of semigroups (Q2116703)
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scientific article; zbMATH DE number 7492931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cubic quasi-ideal of semigroups |
scientific article; zbMATH DE number 7492931 |
Statements
Cubic quasi-ideal of semigroups (English)
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18 March 2022
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The concept of cubic quasi-ideal in semigroups is introduced in this paper and the author studies the basic properties of it. Moreover, he obtains some necessary and sufficient conditions for a cubic bi-ideal in a semigroup to be a cubic quasi-ideal. Several characterization theorems of regular and intra-regular semigroups in terms of cubic quasi-ideals are nicely presented in the paper. It would be desirable if some examples and counterexamples were included to justify and validate the results obtained.
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cubic set
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cubic ideal
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cubic quasi-ideal
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regular semigroup
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intra-regular semigroup
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