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RELATIVE PROJECTIVITY AND RELATED RESULTS
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 Title & Authors
RELATIVE PROJECTIVITY AND RELATED RESULTS
Toroghy, H.Ansari;
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 Abstract
Let R be a commutative Noetherian ring and let M be an Artinian R-module. Let MM′ be submodules of M. Suppose F is an R-module which is projective relative to M. Then it is shown that ( (F,M′) :(F,M) ), n N and ((F,M′) :(F,M) In (F,M") :(F,M) ),n N are ultimately constant.
 Keywords
associated primes;relative projectivity;attached primes;
 Language
English
 Cited by
 References
1.
Frank W. Anderson and Kent R. Fuller, Categories of Modules (second edition), Springer-Verlag, New York, 1992

2.
N. Bourbaki, Commutative Algebra, Addison-Wesley, Read. Mass. 1972

3.
K. Divaani-Aazar and M. Tousi, Asymptotic attached primes related to flat modules, Algebra Colloq. 6 (1999), no. 2, 193–204

4.
I. G. Macdonald, Secondary representation of modules over a commutative ring, Sympos. Math. XI (1973), 23–43

5.
L. Melkerson, On asymptatic stability for sets of prime ideals connected with powers of an ideal, Math. Proc. Cambridge Philos. Soc. 107 (1990), 267–271

6.
L. Melkerson, Cohomological properties of modules with secondary representation, Math. Scand. 77 (1995), 197–208

7.
I. Nishitani, Associated prime ideals of the dual of an Artinian module relative to an injective module, Comm. Algebra 22 (1994), 2651–2667

8.
D. E. Rush, Asymptotic primes and integral closure in modules, Quart. J. Math. Oxford Ser. 43 (1992), no. 2, 477–499

9.
S. Yassemi, Coassociated primes, Comm. Algebra 23 (1995), 1473–1498