Hereditary Prime P.I. Rings are Classical Hereditary Orders†

DOI10.1112/jlms/s2-8.3.499zbMath0286.16003OpenAlexW1968964585MaRDI QIDQ4774148

Lance W. Small, J. Chris Robson

Publication date: 1974

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-8.3.499

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Rings with polynomial identity (16Rxx)

Related Items

An isomorphism test for modules over a non-commutative PID. Applications to similarity of Ore polynomials., On prime ideals in hereditary PI-rings, Hereditary rings with a polynomial identity¹, Global dimension of factor rings, Polynomials determining hereditary prime PI-rings, Hereditary Finitely Generated Algebras Satisfying a Polynomial Identity, Right hereditary affine PI rings are left hereditary, When is the ring a projective module over the fixed point ring?, A krull type generalization of knp rings with enough Invertible ideals, Associative rings, A note on hereditary rings, Modules Over Coproducts of Rings, Noetherian hereditary abelian categories satisfying Serre duality, Integral extensions of rings satisfying a polynomial identity, Birational hereditary noetherian prime rings, Homological dimensions of some p.i.rings, Some examples op rings, ON Ω–KRMULL RINGS, A characterization of a non-frime v-hc order, On the centre of a hereditary p.i . algebra, Hereditary finitely generated P.I. algebras, Generalized Rees rings and relative maximal orders satisfying polynomial identities, Fixed point rings of finite automorphism groups of hereditary finitely generated P.I. algebras, Hereditary rings integral over their centers, Finite generalized crossed products over tame and maximal orders, A new characterisation of hereditary PI rings