The finiteness of $I$ when ${\it R}[{\it X}]/{\it I}$ is flat
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چکیده
منابع مشابه
When every $P$-flat ideal is flat
In this paper, we study the class of rings in which every $P$-flat ideal is flat and which will be called $PFF$-rings. In particular, Von Neumann regular rings, hereditary rings, semi-hereditary ring, PID and arithmetical rings are examples of $PFF$-rings. In the context domain, this notion coincide with Pr"{u}fer domain. We provide necessary and sufficient conditions for...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1972
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1972-0306176-6