\(\ell \) -群与mv -代数的素谱

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2025-09-22 DOI:10.1007/s00012-025-00905-8

Giuseppina G. Barbieri, Antonio di Nola, Giacomo Lenzi

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引用次数: 0

摘要

作为主要结果，我们刻画了阿贝尔晶格有序群的素数谱。进一步介绍了基于谱空间、格和普里斯特利空间的分类。然后对Chang mv -代数生成的变量进行了表征，并对该变量进行了研究。接下来，我们将结果推广到由小森链产生的每一个品种。

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The prime spectrum of \(\ell \)-groups and MV-algebras

As a main result, we characterize prime spectra of abelian lattice ordered groups. Further we introduce some categories based on spectral spaces, lattices and Priestley spaces. Then we have a characterization of the variety generated by the Chang MV-algebra and we study this variety. Next we generalize the results to every variety generated by a Komori chain.

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.