Group rings with n-generated ideals
作者:
James S. Okon,
J. Paul Vicknair,
期刊:
Communications in Algebra
(Taylor Available online 1992)
卷期:
Volume 20,
issue 1
页码: 189-217
ISSN:0092-7872
年代: 1992
DOI:10.1080/00927879208824338
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Let R be a commutative ring with identity. If an ideal I of R can be generated by n elements, then we say that I is n-generated; and, if every ideal of R is n-generated, we say that R has the n-generator property. It is well-known that if R has the n-generator property, then R has Krull dimension zero or one. Considerable interest has been shown in rings with the n-generator property (see for example [4], [13], [17], [la]) and in the problem of determining when a group or monoid ring has the n-generator property - either in general or for a specified choice of n, see [I], [lo], [ll], [14] and [19].
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