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Commutative quasiregular rings with isomorphic additive and circle composition groups, II: rational algebras

Citation

Chick, HL and Gardner, BJ, Commutative quasiregular rings with isomorphic additive and circle composition groups, II: rational algebras, Communications in Algebra, 26, (2) pp. 657-670. ISSN 0092-7872 (1998) [Refereed Article]

DOI: doi:10.1080/00927879808826155

Abstract

We show that any commutative nil ring which is an algebra over the rationals has its additive group isomorphic to its circle composition (or adjoint) group and demonstrate the importance of divisibility in establishing this result. We conclude by showing that if a ring has isomorphic additive and circle composition groups then this property need not be inherited by its quasiregular subrings. Copyright © 1998 by Marcel Dekker, Inc.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Chick, HL (Associate Professor Helen Chick)
Author:Gardner, BJ (Dr Barry Gardner)
ID Code:14212
Year Published:1998
Deposited By:Mathematics
Deposited On:1998-08-01
Last Modified:2011-08-09
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