Geodesic
On algebras of generalized Latin squares
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 91-103

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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.
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.
DOI : 10.21136/MB.2011.141453
Classification : 05B15, 16S99
Keywords: ring with identity; homomorphism; one-sided ideal; two-sided ideal; module; bimodule 
Katrnoška, František. On algebras of generalized Latin squares. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 91-103. doi: 10.21136/MB.2011.141453
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