Lattices of annihilators in commutative algebras over fields

• Autorzy: Jastrzębska M. , Krempa J.

Identyfikatory

DOI

10.1515/dema-2015-0039

• Konferencja: Proceedings of the AAA88 - 88th Workshop on General Algebra Editors for the Special Issue: Anna Romanowska, Jonathan D. H. Smith
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

poset; partially ordered set; lattice; annihilator; contracted semigroup algebra; finite dimensional algebra

PL

częściowy porządek; kratownica; anihilator; algebra półgrupowa; algebra skończenie wymiarowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 4
• Strony: 546--553
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Jastrzębska M.

• Institute of Mathematics and Physics, Siedlce University of Natural Sciences and Humanities, ul. 3 Maja 54, 08-110 Siedlce, Poland

autor

Krempa J.

• Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland

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