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On algebras of generalized Latin squares

František Katrnoška (2011)

Mathematica Bohemica

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.

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