分配半格上的一类同余

IF 0.1 Q4 MULTIDISCIPLINARY SCIENCES

Revista de Investigaciones-Universidad del Quindio Pub Date : 2022-12-06 DOI:10.33975/riuq.vol34n1.525

Tolesa Dekeba Bekele, Tesfu Reta

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引用次数: 0

摘要

给出了半格在商半格和子半格上的自然外胚的记号。如果S是分配型半格，F是S的滤波器，则证明了θF是单个等价类中包含F的S上的最小同余，且S/θF是分配型的。此外，证明了映射FθF是S的F0(S)个所有非空滤子的格到S上所有同余的格C(S)的置换子格的同构。

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A Class of Congruencies on Distributive Semilattice

In this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S containing F in a single equivalence class and that S/θF is distributive. In addition, the author proved that map FθF is an isomorphism from the lattice of F0(S) all non-empty filters of S into a permutable sublattice of the lattice C(S) of all congruencies on S.

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来源期刊

Revista de Investigaciones-Universidad del Quindio MULTIDISCIPLINARY SCIENCES-

自引率

0.00%

发文量

134

审稿时长

6 weeks