Radical Properties of Lattice ????-Ordered Algebras

Аннотация

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.