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Radical Properties of Lattice ????-Ordered Algebras

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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.… Click to show full 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.

Keywords: properties lattice; lattice ordered; radical properties; ordered algebras

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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