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Fundamentalnaya i Prikladnaya Matematika, 1996, Volume 2, Issue 2, Pages 501–509
(Mi fpm163)
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This article is cited in 9 scientific papers (total in 9 papers)
Gröbner bases and coherentness of monomial associative algebras
D. I. Piontkovskii
Abstract:
Let $A$ be an associative algebra which is defined by a finite number of monomial relations. In this paper we show that any finitely generated one-sided ideal in $A$ has a finite Gröbner basis. We propose an algorithm for constructing of this basis. As a consequence we obtain an algorithm for computation of syzygy module for the system of generators of the ideal. In particular, this syzygy module is finitely generated. It means that $A$ is coherent.
Received: 01.08.1995
Citation:
D. I. Piontkovskii, “Gröbner bases and coherentness of monomial associative algebras”, Fundam. Prikl. Mat., 2:2 (1996), 501–509
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https://www.mathnet.ru/eng/fpm163 https://www.mathnet.ru/eng/fpm/v2/i2/p501
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Abstract page: | 410 | Full-text PDF : | 243 | First page: | 2 |
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