EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 57(71) (dedicated to Djuro Kurepa), pp. 111--123 (1995)

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Decompositions of semigroups with zero

Stojan Bogdanovi\'c, Miroslav \'Ciri\'c

Ekonomski fakultet, Nis, Beograd, Yugoslavia

Abstract: We give a general theory of decompositions of semigroups with zero into an orthogonal, right, left and matrix sum of semigroups. The lattices of such decompositions are characterized by some sublattices of the lattice of equivalence relations on a semigroup with zero, and also by some lattices obtained from the lattices of (left, right) ideals of a semigroup with zero. Using the obtained results we decompose the lattice of (left, right) ideals of a semigroup with zero into a direct product of directly indecomposable lattices.

Classification (MSC2000): 20M10

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition