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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 5, Pages 89–93
(Mi fpm1671)
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This article is cited in 2 scientific papers (total in 2 papers)
Radical properties of lattice $\mathcal{K}$-ordered algebras
J. V. Kochetova Moscow State Pedagogical University
Abstract:
Kopytov's $\mathcal{K}$-order for any algebras over a field is considered. Some results concerning relationships between $l$-prime radicals and prime radicals in lattice $\mathcal{K}$-ordered algebras over partially ordered fields are obtained. Also, the notion of a saturated system in an $l$-algebra is introduced and some properties of saturated systems of lattice $\mathcal{K}$-ordered algebras are presented.
Citation:
J. V. Kochetova, “Radical properties of lattice $\mathcal{K}$-ordered algebras”, Fundam. Prikl. Mat., 20:5 (2015), 89–93; J. Math. Sci., 230:3 (2018), 411–413
Linking options:
https://www.mathnet.ru/eng/fpm1671 https://www.mathnet.ru/eng/fpm/v20/i5/p89
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Abstract page: | 262 | Full-text PDF : | 99 | References: | 41 |
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