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arXiv · 2312.09914

Ideals of quasi-absorbing elements in semigroups

Rico Hager·Andreas H Hamel·Frank Heyde
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Abstract

Motivated by situations in which the removal of a zero (a.k.a., an absorbing element) from a semigroup yields a subsemigroup with another zero, sets of quasi-zeros (a.k.a., quasi-absorbing elements) are introduced as well as primitive elements, minimal ideals and simple semigroups all with respect to a given ideal. An application to set optimization is discussed.

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Rico Hager, Andreas H Hamel, Frank Heyde. 2023-12-15. Ideals of quasi-absorbing elements in semigroups. https://arxiv.org/abs/2312.09914

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