Research Article

Extending partial orders on rings

Published in: Quaestiones Mathematicae
Volume 44 , issue 7 , 2021 , pages: 869–879

DOI: 10.2989/16073606.2020.1752841

Author(s): Moreta Findler , USA , Jingjing Ma , USA

Keywords: Primary: 06F25 , Primary: 06F25

Abstract

For a commutative ring with identity, it is consistently L^∗ if and only if it is consistently O^∗ . This result is generalized to noncommutative rings with identity in the section 2. In the section 3, it is shown that for any abelian group G and integral domain D, the group ring D[G] is L^∗ if and only if it is O^∗ .

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