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Representation extensions and amalgamation bases in rings

Part of: Chain conditions, growth conditions, and other forms of finiteness

Published online by Cambridge University Press:  26 February 2010

Kunitaka Shoji
Kunitaka Shoji
Affiliation:
Department of Mathematics, Shimane University, Matsue, Shimane, 690, Japan.
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Abstract

The main purposes of this paper are to investigate ℤ-injective rings with the representation extension property and its dual, to give a necessary and sufficient condition for a ℤ-injective ring to be an amalgamation base in the class of all rings and to determine structure of ℤ-injective Noetherian rings which are amalgamation bases. Further, in the class of all commutative rings, it is shown that a commutative ring has the representation extension property, if, and only if, it is an amalgamation base.

MSC classification

Secondary: 16P40: Noetherian rings and modules

Information

Type
Research Article
Information
Mathematika , Volume 41 , Issue 2 , December 1994 , pp. 394 - 400
Copyright
Copyright © University College London 1994

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