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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 258–269
(Mi timm567)
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This article is cited in 4 scientific papers (total in 4 papers)
Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets
A. Shevlyakov Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Abstract:
Irreducible coordinate monoids of algebraic sets over the additive monoid of natural numbers are described. An arbitrary algebraic set over $\mathbb N$ is decomposed into the union of irreducible components, and the properties of the irreducible components are investigated.
Keywords:
natural numbers, algebraic geometry, monoid, universal closure.
Received: 27.07.2009
Citation:
A. Shevlyakov, “Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 258–269
Linking options:
https://www.mathnet.ru/eng/timm567 https://www.mathnet.ru/eng/timm/v16/i2/p258
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Abstract page: | 304 | Full-text PDF : | 162 | References: | 38 | First page: | 3 |
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