Ideal intrinsic extensions with connections to PI-rings.

DOI10.1016/j.jpaa.2009.01.010zbMath1186.16009OpenAlexW2033789390MaRDI QIDQ1020956

Gary F. Birkenmeier, Jae Keol Park, Efraim P. Armendariz

Publication date: 4 June 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.01.010

zbMATH Keywords

polynomial identitiesring extensionsalmost PI ringsIIC ringsPI idealsrings with large centresemiprime PI rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) General radicals and associative rings (16N80) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (9)

Idempotents and structures of rings ⋮ Semigroup rings and group rings with large center. ⋮ Associative rings with large center. ⋮ On prime ideals and radicals of polynomial rings and graded rings. ⋮ Corrigendum to ``Ideal intrinsic extensions with connections to PI-rings. ⋮ Rings of quotients for rings with big center. ⋮ A survey of intrinsic extensions of rings ⋮ Rings essential over their centers ⋮ Extending Sets of Idempotents to Ring Extensions

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