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.
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