Radical Properties of Lattice ????-Ordered Algebras


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Abstract

Kopytov’s ????-order for any algebras over a field is considered. Some results concerning relationships between l-prime radicals and prime radicals in lattice ????-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 ????-ordered algebras are presented.

About the authors

J. V. Kochetova

Moscow State Pedagogical University

Author for correspondence.
Email: jkochetova@mail.ru
Russian Federation, Moscow

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