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Distributivity, binary relations, and standard bases
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 127-134
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In the author's previous papers, the connection between generating syzygy modules by binary relations, the property of a commutative ring to be arithmetical (that is to have a distributive ideal lattice), and the use of the so-called S-polynomials in the standard basis theory were discussed. In this note, these connections are considered in a more general context. As an illustration of the usefulness of these considerations, a simple proof of some well-known fact from commutative algebra is given. 
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E. S. Golod. Distributivity, binary relations, and standard bases. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 127-134. http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a5/

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