Lattices of Annihilators in Commutative Algebras Over Fields

Demonstratio mathematica

article

M. Jastrzebska¹  J. Krempa² 

[1] Institute of Mathematics and Physics Siedlce University of Natural Sciences and Humanities;Institute of Mathematics University of Warsaw Ul. Banacha 2 02-097 Warszawa

关键词: poset;    lattice;    annihilator;    contracted semigroup algebra;    finite dimensional algebra;   

DOI  :  10.1515/dema-2015-0039

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

Let 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.

【 授权许可】

CC BY