André-Quillen homology via functor homology
Author:
Teimuraz Pirashvili
Journal:
Proc. Amer. Math. Soc. 131 (2003), 1687-1694
MSC (2000):
Primary 13D03, 18G25
DOI:
https://doi.org/10.1090/S0002-9939-02-06741-2
Published electronically:
October 1, 2002
MathSciNet review:
1955254
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Abstract | References | Similar Articles | Additional Information
Abstract: We obtain André-Quillen homology for commutative algebras using relative homological algebra in the category of functors on finite pointed sets.
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-spaces, spectra, and bisimplicial sets. Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II, pp. 80-130, Lecture Notes in Math., 658, Springer, 1978. 
-groups. Math. Ann. 318 (2000), no. 2, 277-298. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13D03, 18G25
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Additional Information
Teimuraz Pirashvili
Affiliation:
Razmadze Mathematical Institute, Rukhadze str. 1, Tbilisi 380093, Republic of Georgia
Email:
pira@rmi.acnet.ge
DOI:
https://doi.org/10.1090/S0002-9939-02-06741-2
Received by editor(s):
October 13, 2001
Received by editor(s) in revised form:
January 17, 2002
Published electronically:
October 1, 2002
Additional Notes:
The author was partially supported by the grant INTAS-99-00817 and by the TMR network K-theory and algebraic groups, ERB FMRX CT-97-0107
Communicated by:
Paul Goerss
Article copyright:
© Copyright 2002
American Mathematical Society