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Title: Radical Properties of Lattice πœ…-Ordered Algebras

Abstract

Kopytov’s πœ…-order for any algebras over a field is considered. Some results concerning relationships between l-prime radicals and prime radicals in lattice πœ…-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 πœ…-ordered algebras are presented.

Authors:
 [1]
  1. Moscow State Pedagogical University (Russian Federation)
Publication Date:
OSTI Identifier:
22771353
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; GROUP THEORY; LATTICE FIELD THEORY

Citation Formats

Kochetova, J. V., E-mail: jkochetova@mail.ru. Radical Properties of Lattice πœ…-Ordered Algebras. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3747-7.
Kochetova, J. V., E-mail: jkochetova@mail.ru. Radical Properties of Lattice πœ…-Ordered Algebras. United States. doi:10.1007/S10958-018-3747-7.
Kochetova, J. V., E-mail: jkochetova@mail.ru. Sun . "Radical Properties of Lattice πœ…-Ordered Algebras". United States. doi:10.1007/S10958-018-3747-7.
@article{osti_22771353,
title = {Radical Properties of Lattice πœ…-Ordered Algebras},
author = {Kochetova, J. V., E-mail: jkochetova@mail.ru},
abstractNote = {Kopytov’s πœ…-order for any algebras over a field is considered. Some results concerning relationships between l-prime radicals and prime radicals in lattice πœ…-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 πœ…-ordered algebras are presented.},
doi = {10.1007/S10958-018-3747-7},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}