ON ORDERED MONOID RINGS OVER A QUASI-BAER RING

DOI10.1081/AGB-100002171zbMath0996.16020MaRDI QIDQ2755372

Yasuyuki Hirano

Publication date: 4 November 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

idempotentsleft idealsmonoid ringsskew group ringsordered monoidsleft annihilatorsleft principally quasi-Baer rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25) Topological and ordered rings and modules (16W80)

Related Items (20)

On Annihilator Ideals of Pseudo-differential Operator Rings ⋮ Rings in Which the Annihilator of an Ideal Is Pure ⋮ Unnamed Item ⋮ \(\sigma \)-PBW extensions of skew Armendariz rings ⋮ Study of skew inverse Laurent series rings ⋮ Triangular matrix representations of ring extensions. ⋮ Principal quasi-Baerness of formal power series rings. ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ Left principally quasi-Baer and left APP-rings of skew generalized power series ⋮ On Skew Quasi-Baer Rings ⋮ Baer and quasi-Baer properties of group rings ⋮ Ore Extensions of Skew Armendariz Rings ⋮ GENERALISED ARMENDARIZ PROPERTIES OF CROSSED PRODUCT TYPE ⋮ Generalized Quasi-Baer Rings ⋮ Some results on skew Hurwitz series rings ⋮ ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS ⋮ Generalized APP-Rings ⋮ BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS ⋮ Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Cites Work

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• Baer rings and quasi-continuous rings have a MDSN
• Decompositions of Baer-like rings
• Twisted matrix units semigroup algebras
• Regular rings and Baer rings
• On Baer and quasi-Baer rings
• A note on extensions of Baer and P. P. -rings

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