Projective Ideals of Finite Type
1969 ◽
Vol 21
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pp. 1057-1061
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Keyword(s):
The main results in this paper relate the concepts of flatness and projectiveness for finitely generated ideals in a commutative ring with unity. In this discussion the idea of a multiplicative ideal is used.Definition.An ideal Jis multiplicative if and only if whenever I is an ideal with I ⊂ J there exists an ideal Csuch that I = JC.Throughout this paper Rwill denote a commutative ring with unity. If I and Jare ideals of R,then I: J = {x| xJ ⊂ I}. By “prime ideal” we will mean “proper prime ideal” and Specie will denote this set of ideals. Ris called a local ring if it has a unique maximal ideal (the ring need not be Noetherian). If P is in Spec R then RPis the quotient ring formed using the complement of P.
1973 ◽
Vol 74
(3)
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pp. 441-444
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2019 ◽
Vol 19
(04)
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pp. 2050061
Keyword(s):
1971 ◽
Vol 30
(3)
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pp. 459-459
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Keyword(s):
2016 ◽
Vol 16
(09)
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pp. 1750163
Keyword(s):
Keyword(s):
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1992 ◽
Vol 111
(1)
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pp. 25-33
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