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Communications in Algebra Volume 30, 2002 - Issue 6
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Original Articles

COHERENCE

John Dauns Department of Mathematics, Tulane University, New Orleans, Louisiana, 70118, U.S.A.
Pages 3063-3075 | Received 01 Jan 2001, Published online: 01 Sep 2006
 
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ABSTRACT

The theory of coherent rings and modules is generalized to cardinal numbers . A ring R is -coherent if every right ideal with less than -generators has less than -relations.

ACKNOWLEDGMENT

The author expresses his thanks to his colleague Laszlo Fuchs for many discussions about this subject, and to the referee for helpful suggestions.

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