Linearly ordered rings which are not o-epimorphic images of ordered free rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1971 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 9, pages 402-404 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Ivanova, O. A.;

doi: 10.1007/bf01094584

Linearly ordered rings which are not o-epimorphic images of ordered free rings

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Abstract

A proof is given that not every linearly ordered associative (associative-commutative) ring is the o-image of a free associative (associative-commutative) ring for some ordering of the latter. There are also nilpotent linearly ordered rings which are not o-epimorphic images of free associative or free associative-commutative n-nilpotent rings for n≥ 4, no matter what ordering is used for the latter.

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

Ordered rings, algebras, modules

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