Some questions on partially ordered rings – a survey

Published in: Quaestiones Mathematicae
Volume 46 , issue 12 , 2023 , pages: 2611–2624

DOI: 10.2989/16073606.2023.2177206

Author(s): Jingjing Ma University of Houston-Clear Lake, USA

Keywords: 06F25 , Almost f-ring , directed partial order , division closed , f-ring , f-superunit , Galois extension , lattice order , ℓ-domain , ℓ-prime , L*-ring , matrix ring , O* -ring , partial order , quotient field , regular division closed , squares positive

This survey provides a brief overview and new developments on some questions in the area of partially ordered and lattice-ordered rings and algebras.

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