反序半群中的正则反同余

Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI:10.2298/PIM0795095R

A. D. Romano

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引用次数: 4

摘要

对于一个反同余q，如果在S/q上存在一个反序θ，使得自然外胚是半群的逆同态，则称其在反序α下有序的半群(S，=， _=，·，α)上是正则反同余。如果在α下S上存在拟反序σ，使得q = σ∪σ−1，则反同余q是正则的。此外，对于S上的正则反同余q，给出了α下关于q的极大拟反序关系的构造。

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On regular anti-congruence in anti-ordered semigroups

For an anti-congruence q we say that it is regular anti-congruence on semigroup (S,=, _=, ·, α) ordered under anti-order α if there exists an antiorder θ on S/q such that the natural epimorphism is a reverse isotone homomorphism of semigroups. Anti-congruence q is regular if there exists a quasi-antiorder σ on S under α such that q = σ ∪ σ−1. Besides, for regular anti-congruence q on S, a construction of the maximal quasi-antiorder relation under α with respect to q is shown.

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Publications De L'institut Mathematique

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