Lattices of Annihilators in Commutative Algebras Over Fields

Demonstratio Mathematica

Krempa J.¹  Jastrzebska M.² 

[1] Institute of Mathematics University of Warsaw Ul. Banacha 2 02-097 Warszawa, Poland;Institute of Mathematics and Physics Siedlce University of Natural Sciences and Humanities, ul. 3 Maja 54 08-110, Siedlce, Poland;

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

DOI  :  10.1515/dema-2015-0039

来源: DOAJ

【 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】

Unknown