Dimension theory
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- by Abraham Zaks PDF
- Proc. Amer. Math. Soc. 38 (1973), 457-464 Request permission
Abstract:
The $T$-equivalence and $T$-iterations introduced for a bifunctor $T$ enable one to deduce a “shifting property” from which one gets the “long exact sequence of homology.” Also, the appropriate lemma of Schanuel is proved, from which one can develop a $T$-dimension theory. These notions are useful in proving known duality homomorphisms and may serve to get some new ones. For one purpose, they unify the methods of studying the various common dimensions.References
- Maurice Auslander and Mark Bridger, Stable module theory, Memoirs of the American Mathematical Society, No. 94, American Mathematical Society, Providence, R.I., 1969. MR 0269685
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970. MR 0254021
- Joachim Lambek, Lectures on rings and modules, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1966. With an appendix by Ian G. Connell. MR 0206032 A. Zaks, Algebraic homology, Lecture Notes, Technion-Israel Institute of Technology, Haifa, 1971. (Hebrew)
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 457-464
- MSC: Primary 18G20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0338130-9
- MathSciNet review: 0338130