On 3-generated lattices with a completely modular element among generators

被引：0

作者：

Mikhail P. Shushpanov

机构：

[1] Ural Federal University,Chair of Algebra and Theoretical Computer Science

来源：

Algebra universalis | 2017年 / 78卷

关键词：

completely modular element; defining relation; finite lattice; free lattice; Primary: 06B25; Secondary: 06B99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a lattice generated by three elements, one of which is completely modular. The free lattice with this property is proved to be finite. It is not modular and contains exactly 39 elements. We have also found a finite set of defining relations for the generating elements of this lattice.

引用

页码：377 / 387

页数：10

共 6 条

[1]

Bhatta S.P.(2009)A characterization of neutral elements by the exclusion of sublattices Discrete Math. 309 1691-1702

[2]

Gein A.G.(2014)Finitely generated lattices with completely modular elements among generators Algebra and Logic. 52 435-441

[3]

Shushpanov M.P.(2015)Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type Sib. Math. J. 56 631-636

[4]

Gein A.G.(1937)On the theorem of Jordan-Holder Trans. Amer. Math. Soc. 41 266-275

[5]

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[6]

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