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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 4, Pages 249–263
(Mi fpm1754)
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This article is cited in 3 scientific papers (total in 3 papers)
On partially ordered algebras over fields
E. E. Shirshova Moscow Pedagogical State University, Moscow, Russia
Abstract:
Characteristics of partially ordered algebras over partially ordered fields are considered. Characteristics of ideals of $\mathcal K$-ordered algebras over directed fields are described. Properties of convex directed ideals in interpolation $\mathcal K$-ordered algebras over partially ordered fields are investigated. Some theorems are proved for ideals of linearly $\mathcal K$-ordered algebras over directed fields.
Citation:
E. E. Shirshova, “On partially ordered algebras over fields”, Fundam. Prikl. Mat., 21:4 (2016), 249–263; J. Math. Sci., 245:2 (2020), 285–295
Linking options:
https://www.mathnet.ru/eng/fpm1754 https://www.mathnet.ru/eng/fpm/v21/i4/p249
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| Abstract page: | 337 | | Full-text PDF : | 148 | | References: | 62 |
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