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Bass, H.

On the ubiquity of Gorenstein rings. (English) Zbl 0112.26604

Math. Z. 82, 8-28 (1963).
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Cited in 12 Reviews
Cited in 498 Documents

Keywords:

rings, modules, fields
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Full Text: DOI EuDML

References:

[1] Auslander, M., andO. Goldman: Maximal orders. Trans. Amer. Math. Soc.97, 1-24 (1960). · Zbl 0117.02506 · doi:10.1090/S0002-9947-1960-0117252-7
[2] Bass, H.: Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc.95, 466-488 (1960). · Zbl 0094.02201 · doi:10.1090/S0002-9947-1960-0157984-8
[3] ?: Injective dimension in noetherian rings. Trans. Amer. Math. Soc.102, 18-29 (1962). · Zbl 0126.06503 · doi:10.1090/S0002-9947-1962-0138644-8
[4] ?: Torsion free and projective modules. Trans. Amer. Math. Soc.102, 319-327 (1962). · Zbl 0103.02304 · doi:10.1090/S0002-9947-1962-0140542-0
[5] Berger, R.: Über eine Klasse unvergabelter lokaler Ringe. Math. Ann.166, 98-102 (1962). · Zbl 0115.03303 · doi:10.1007/BF01396670
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[8] Gabriel, P.: Objects injectifs dans les catégories abéliennes. Sém. Dubreil 1958/59.
[9] Gorenstein, D.: An arithmetic theory of adjoint plane curves. Trans. Amer. Math. Soc.72, 414-436 (1952). · Zbl 0046.38503 · doi:10.1090/S0002-9947-1952-0049591-8
[10] Grothendieck, A.: Théorèmes de dualité pour les faisceaux algébriques cohérents. Séminaire Bourbaki, May 1957.
[11] Heller, A., andI. Reiner: Representations of cyclic groups in rings of integers. Ann. of Math. (to appear). · Zbl 0119.03004
[12] Jans, J.: Duality in noetherian rings. Proc. Amer. Math. Soc.12, 829-835 (1961). · Zbl 0113.26104 · doi:10.1090/S0002-9939-1961-0137743-9
[13] Jans, J.: On finitely generated modules over noetherian rings. Trans. Amer. Math. Soc. (to appear). · Zbl 0118.04302
[14] Kaplansky, I.: Homological dimension of rings and modules, mimeographed notes. Univ. of Chicago.
[15] Matlis, E.: Injective modules over noetherian rings. Pacific J. Math.8, 511-528 (1958). · Zbl 0084.26601
[16] ?: Observations on noetherian domains of dimension 1. Can. J. Math.13, 569-586 (1961). · Zbl 0102.02901 · doi:10.4153/CJM-1961-046-x
[17] Northcott, D. G., andD. Rees: Principal systems. Quart. J. Math.8, 119-127 (1957). · Zbl 0077.26001 · doi:10.1093/qmath/8.1.119
[18] Rees, D.: The grade of an ideal or module. Proc. Camb. Phil. Soc.53, 28-42 (1957). · Zbl 0079.26602 · doi:10.1017/S0305004100031960
[19] Roquette, P.: Über den Singularitätsgrad von Teilringen in Funktionenkörpern. Math. Z.77, 228-240 (1961). · Zbl 0102.27801 · doi:10.1007/BF01180176
[20] Samuel, P.: Singularités des variétés algébriques. Bull. Soc. Math. de France79, 121-129 (1951).
[21] Serre, J.-P.: Groupes algébriques et corps de classes. Paris: Hermann 1959. · Zbl 0097.35604
[22] Serre, J.-P.: Sur les modules projectifs. Séminaire Dubreil, Nov. 1960/61.
[23] Apéry, R.: La géométrie algébrique. Bull. Soc. Math. France71, 46-66 (1943).
[24] Rosenlicht, M.: Equivalence relations on algebraic curves. Ann. of Math.56, 169-191 (1952). · Zbl 0047.14503 · doi:10.2307/1969773
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