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Andre-Homologie für gewisse Kategorien von Ringen mit Fasersumme. (German) Zbl 0325.13007

MSC:

13D99 Homological methods in commutative ring theory
14A05 Relevant commutative algebra
13J05 Power series rings
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)

References:

[1] André, M.: Méthode Simplizial en Algèbre Homologique et Algèbre Commutative. Lecture Notes in Mathematics32, Berlin-Heildelberg-New York: Springer 1967 · Zbl 0154.01402
[2] André, M.: Rapport sur l’Homologie des Algèbres Commutatives. Mathematics Rapports 29, 30, 35, 42 (1969-1970), Batelle Institute, Geneva, Switzerland
[3] André, M.: Homologie des Algèbres Commutatives. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0284.18009
[4] Berger, R., Kiehl, R., Kunz, E., Nastold, H.-J.: Differentialrechnung in der analytischen Geometrie. Lecture Notes in Mathematics,38, Berlin-Heidelberg-New York: Springer 1967 · Zbl 0163.03202
[5] Brüske, R.: Saturierte Moduln und André-Kohomologie in der affinoiden Geometrie. Schriftenverzeichnis des Mathematischen Instituts der Universität Münster, 2. Serie, Heft 11 (1976) · Zbl 0355.14009
[6] Brüske, R.: Glatte Morphismen in der analytischen Geometrie; in Vorbereitung · Zbl 0377.14003
[7] Grauert, H., Remmert, R.: Analytische Stellenalgebren. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0231.32001
[8] Schlesinger-Lichtenbaum: The Cotangenet Complex of a Morphism. Trans. Amer. math. Soc.128, 41-70 (1967) · Zbl 0156.27201 · doi:10.1090/S0002-9947-1967-0209339-1
[9] Schmidt, H.: André-Homologie für analytische Algebren. Dissertation, Regensburg 1972
[10] Tate, J.: Rigid Analytic Spaces. Inventiones Math.12, 257-289 (1971) · Zbl 0212.25601 · doi:10.1007/BF01403307
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