Moroccan Journal of Algebra and Geometry with Applications

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Characterizing some commutative rings by divisibility conditions

Ayman Badawi 
Department of Mathematics & Statistics, The American University of Sharjah, P.O.
Box 26666, Sharjah, United Arab Emirates.

Pages 243–248 | Received 26 November 2023, Accepted 31 January 2024, Published 08 November 2024

Abstract

In this paper, we collect results on divisibility that characterize known commutative rings.

Keywords:  linearly ordered, pseudo-valuation ring, divided ring.

MSC numbers: Primary 13A15; Secondary 13F05, 13G05.

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