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May 14, 2026Asian-European Journal of Mathematics0 citations

Covered α-ideals on semigroups

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PNPatipan NillaphantBPBundit Pibaljommee

Key Points

  • The aim is to define covered α-ideals of semigroups and explore their properties, particularly regarding conditions for their existence.
  • Introduced the concept of covered α-ideals in the context of semigroups.
  • Studied properties and conditions related to these ideals.
  • Provided a sufficient condition for the existence of covered α-ideals within semigroups.
  • Established that certain conditions ensure the existence of a covered α-ideal in a semigroup.
  • Showed that any covered α-ideal of a proper α-ideal is also a covered α-ideal of the entire semigroup.

Abstract

We introduce the notion of covered α-ideals of semigroups and study some of their properties. We also provide a sufficient condition for a semigroup to contain a covered α-ideal. Furthermore, we investigate conditions under which every covered α-ideal of a proper α-ideal of a semigroup is also a covered α-ideal of the semigroup.

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Cite This Study

Nillaphant et al. (2026) studied this question.

synapsesocial.com/papers/6a0567d2a550a87e60a20148https://doi.org/10.1142/s1793557126500646
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