Lattices of Annihilators in Commutative Algebras Over Fields-Reference-Cited by-同舟云学术

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Lattices of Annihilators in Commutative Algebras Over Fields

Published:2015-12-01 Issue:4 Volume:48 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
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Author:

Jastrzebska M.,Krempa J.

Abstract

AbstractLet K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2015-0039/pdf

Reference7 articles.

1. On lattices of annihilators;Jastrzębska;Math,2015

2. Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups;Pálfy;Algebra Universalis,1980

3. Rings in which annihilators form a sublattice of the lattice of ideals;Finkel stein;Mat,1983

4. Some examples of rings with annihilator conditions;Niewieczerzał;Acad Sci Math,1978

5. The subalgebra lattice of a finite algebra;Pióro;Eur J Math,2014

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rings with Boolean Lattices of One-Sided Annihilators;Symmetry;2021-10-11

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