The reduced ring order and lower semi-lattices II

DOI10.1142/S0219498821502005OpenAlexW3036081150MaRDI QIDQ5163434

W. D. Burgess, Robert M. Raphael

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13785

zbMATH Keywords

localizationsgeneralized power series ringsreduced ring orderlifting orthogonal sets

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Rings and algebras of continuous, differentiable or analytic functions (46E25) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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• A generalization of Boolean rings
• Sheaves of integral domains on Stone spaces
• On Conrad's partial order relation on semiprime rings and on semigroups
• Semisimple rings and von Neumann regular rings of generalized power series
• Tychonoff spaces and a ring theoretic order on \(C(X)\)
• Complete and Orthogonally Complete Rings
• The reduced ring order and lower semi-lattices
• Hereditary Commutative Rings and Centres of Hereditary Rings
• Direct Product of Division Rings and a Paper of Abian
• PP-rings of generalized power series

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