3-Generated Lattices Close to Distributive Ones

IF 0.4 3区数学 Q4 LOGIC Algebra and Logic Pub Date : 2024-08-05 DOI:10.1007/s10469-024-09749-y

A. G. Gein, I. D. Maslintsyn, K. E. Maslintsyna, K. V. Selivanov

引用次数: 0

Abstract

Lattices are considered in which, instead of distributive identities, a ‘gap’ of length at most 1 is allowed between the right and left parts of each distributivity relation. Such lattices are said to be close to distributive ones. Although this property is weaker than distributivity, nevertheless a 3-generated lattice with this property is also finite.

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接近分配式网格的 3 代网格

在这些网格中，每个分配关系的左右两部分之间允许有一个长度最多为 1 的 "间隙"，而不是分配同值。这种网格被称为接近于分配网格。虽然这一性质比分布性弱，但具有这一性质的 3 代网格也是有限的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.

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