Studying monoids is not enough to study multiplicative properties of rings: an elementary approach.

DOI10.1007/s40065-014-0118-1zbMath1332.20058OpenAlexW2011713665WikidataQ59403891 ScholiaQ59403891MaRDI QIDQ2018839

Muhammad Zafrullah, Marco Fontana

Publication date: 25 March 2015

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-014-0118-1

zbMATH Keywords

multiplications in ringsmultiplicative properties of rings

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

• A general theory of almost factoriality
• Almost Bézout domains
• Almost splitting sets in integral domains
• Divisibility theory in commutative rings: Bezout monoids
• On a property of pre-schreier domains
• Almost GCD domains of finite \(t\)-character.
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