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Mathematica Bohemica
Article . 2011 . Peer-reviewed
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zbMATH Open
Article . 2011
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On algebras of generalized Latin squares

Authors: Katrnoška, František;

On algebras of generalized Latin squares

Abstract

Summary: The main result of this paper is the introduction of the notion of generalized \(R\)-Latin square, which includes as a special case the standard Latin square as well as the magic square, and also the double stochastic matrix. Further, the algebra of all generalized Latin squares over a commutative ring with identity is investigated. Some remarkable examples are added.

Keywords

homomorphism, bimodule, two-sided ideal, module, one-sided ideal, Orthogonal arrays, Latin squares, Room squares, Associative rings and algebras arising under various constructions, ring with identity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Published in a Diamond OA journal