Prime rings whose units satisfy a group identity

DOI10.1080/00927870008827161zbMath0965.16022OpenAlexW4253074891MaRDI QIDQ4519218

Paola Misso, Silvana Mauceri

Publication date: 5 July 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827161

zbMATH Keywords

unitsprime algebrasintegral domainsgroup identities

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Nilpotent maximal subgroups of \(\text{GL}_n(D)\). ⋮ On group identities for the unit group of algebras and semigroup algebras over an infinite field. ⋮ Group Identities and Prime Rings Generated by Units ⋮ Prime Rings Whose Units Satisfy a Group Identity. II ⋮ Locally Finite Conditions on Maximal Subgroups of GL_n(D)

Cites Work

• Rings with an integral element whose centralizer satisfies a polynomial identity
• Group identities on units of rings
• Group algebras whose units satisfy a group identity
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