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Menger algebras of k-commutative n-place functions

Menger algebras of k-commutative n-place functions AbstractWe prove that the set of all k-commutative n-place functions defined on a fixed set forms a Menger algebra, and characterize such algebras by their densely embedded ideals.We also describe all automorphisms of such algebras. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Menger algebras of k-commutative n-place functions

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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2019-2072
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove that the set of all k-commutative n-place functions defined on a fixed set forms a Menger algebra, and characterize such algebras by their densely embedded ideals.We also describe all automorphisms of such algebras.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2021

Keywords: Menger algebra; algebra of multiplace functions; inner automorphism; 20N15; 08A15

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