On algebras of generalized Latin squares

František Katrnoška

Mathematica Bohemica (2011)

  • Volume: 136, Issue: 1, page 91-103
  • ISSN: 0862-7959

Abstract

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The main result of this paper is the introduction of a notion of a 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. Moreover, some remarkable examples are added.

How to cite

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Katrnoška, František. "On algebras of generalized Latin squares." Mathematica Bohemica 136.1 (2011): 91-103. <http://eudml.org/doc/197054>.

@article{Katrnoška2011,
abstract = {The main result of this paper is the introduction of a notion of a 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. Moreover, some remarkable examples are added.},
author = {Katrnoška, František},
journal = {Mathematica Bohemica},
keywords = {ring with identity; homomorphism; one-sided ideal; two-sided ideal; module; bimodule; ring with identity; homomorphism; one-sided ideal; two-sided ideal; module; bimodule},
language = {eng},
number = {1},
pages = {91-103},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On algebras of generalized Latin squares},
url = {http://eudml.org/doc/197054},
volume = {136},
year = {2011},
}

TY - JOUR
AU - Katrnoška, František
TI - On algebras of generalized Latin squares
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 1
SP - 91
EP - 103
AB - The main result of this paper is the introduction of a notion of a 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. Moreover, some remarkable examples are added.
LA - eng
KW - ring with identity; homomorphism; one-sided ideal; two-sided ideal; module; bimodule; ring with identity; homomorphism; one-sided ideal; two-sided ideal; module; bimodule
UR - http://eudml.org/doc/197054
ER -

References

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