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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 1, Pages 65–106
(Mi fpm1390)
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This article is cited in 48 scientific papers (total in 48 papers)
Algebraic geometry over algebraic structures. II. Foundations
E. Yu. Daniyarovaa, A. G. Myasnikovb, V. N. Remeslennikova a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
b Stevens Institute of Technology, USA
Abstract:
In this paper, we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove so-called unification theorems which describe coordinate algebras of algebraic sets in several different ways.
Citation:
E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. II. Foundations”, Fundam. Prikl. Mat., 17:1 (2012), 65–106; J. Math. Sci., 185:3 (2012), 389–416
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https://www.mathnet.ru/eng/fpm1390 https://www.mathnet.ru/eng/fpm/v17/i1/p65
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Abstract page: | 764 | Full-text PDF : | 341 | References: | 97 | First page: | 1 |
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