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A common generalization of local cohomology theories
Published online by Cambridge University Press: 18 May 2009
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Throughout this note all rings considered will be commutative and noetherian and will have non-zero identity elements. A will always denote such a ring and the category of all A-modules and all A-homomorphisms will be denoted by .
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- Copyright © Glasgow Mathematical Journal Trust 1980
References
REFERENCES
1.Bǎnicǎ, C. and Stoia, M., Singular sets of a module and local cohomology, National Institute for Scientific and Technical Creation/Institute of Mathematics, Bucharest, preprint.Google Scholar
2.Bijan-Zadeh, M. H., Torsion theories and local cohomology over commutative noetherian rings, J. London Math. Soc. (2) 19 (1979), 402–410.CrossRefGoogle Scholar
3.Cartan, H. and Eilenberg, S., Homological algebra (Princeton University Press, 1956).Google Scholar
4.Eilenberg, S. and Steenrod, N., Foundations of algebraic topology (Princeton University Press, 1952).CrossRefGoogle Scholar
5.Grothendieck, A., Local cohomology, Lecture Notes in Mathematics 41 (Springer-Verlag, 1967).Google Scholar
6.Herzog, J., Komplexe, , Auflösungen und dualitat in der Lokalen Algebra, preprint, Universitat Essen.Google Scholar
7.Northcott, D. G., An introduction to homological algebra (Cambridge University Press, 1960).Google Scholar
8.Northcott, D. G., Lessons on rings, modules and multiplicities (Cambridge University Press, 1968).CrossRefGoogle Scholar
9.Sharp, R. Y., Local cohomology theory in commutative algebra, Quart. J. Math. Oxford (2) 21 (1970), 425–434.Google Scholar
11.Sharp, R. Y., Ramification indices and injective modules, J. London Math. Soc. (2) 11 (1975), 267–275.CrossRefGoogle Scholar
12.Suzuki, N., On the generalized local cohomology and its duality, J. Math. Kyoto Univ. 18 (1978), 71–85.Google Scholar
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