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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2013 Volume 14, Issue 3, Pages 65–74 (Mi cheb291)

Prime radicals of $\mathcal{K}$-ordered algebras as Kurosh radicals

J. V. Kochetova

Moscow State Pedagogical University

Abstract: The Kopytov's order for any algebras over a field is considered. Some results concerned with the properties of a factoralgebra for a lattice $\mathcal{K}$-ordered algebras and its $l$-prime radical are obtained. Also, some results concerned with the properties of ordered homomorphisms, strictly ordered homomorphisms and lattice homomorphisms of lattice ordered algebras are presented.

Keywords: lattice $\mathcal{K}$-ordered algebra over a field, ordered homomorphism, prime ideal, prime radical.

UDC: 512.552+512.545

Received: 13.08.2013



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