Radical Properties of Lattice ????-Ordered Algebras
- Authors: Kochetova J.V.1
-
Affiliations:
- Moscow State Pedagogical University
- Issue: Vol 230, No 3 (2018)
- Pages: 411-413
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240698
- DOI: https://doi.org/10.1007/s10958-018-3747-7
- ID: 240698
Cite item
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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