6533b82efe1ef96bd129457e

RESEARCH PRODUCT

Subdirectly irreducible generalized sums of upper semilattice ordered systems of algebras

Z. SzylickaJerzy Płonka

subject

CombinatoricsAlgebra and Number TheorySubdirectly irreducible algebraMathematics::Rings and AlgebrasMathematics::General TopologySemilatticeAlgebra over a fieldMathematics

description

In [15] the generalized sum of an upper (F 1 , F 2 )-semilattice ordered system of algebras was defined. In this paper we find necessary and sufficient conditions under which this construction yields subdirectly irreducible algebras.

yearjournalcountryeditionlanguage
2002-06-01Algebra Universalis
https://doi.org/10.1007/s00012-002-8184-1