An infinite construction in ring theory

Author:

Whelan E. A.

Abstract

In this note we describe a class of functors on the category of associative rings with unity (hereafter “rings”) and of ring homomorphisms which, loosely speaking, ‘preserve the properties’ of two-sided ideals, but can be chosen to be arbitrarily ‘bad’ for one-sided properties of rings.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. 19. Whelan E. A. , Radical properties and the Jacobson conjecture, in preparation.

2. 18. Whelan E. A. , Not-necessarily commutative unique factorisation rings, to be submitted to Quart. J. Math. Oxford (2).

3. QUASI-COMMUTATIVE PRINCIPAL IDEAL RINGS

4. 15. Whelan E. A. , Thesis (University of East Anglia, 1986).

5. Idealizers and hereditary noetherian prime rings

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Direct sum decompositions of conformal rings;Acta Mathematica Hungarica;1993-09

2. An Infinite Construction in Ring Theory;Glasgow Mathematical Journal;1991-01

3. The Symmetric Ring Of Quotients Of A Primitive Ring is Primitive;Communications in Algebra;1990-01

4. Normalising elements and radicals, I.;Bulletin of the Australian Mathematical Society;1989-02

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