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Symmetric homology over rings containing the rationals. (English) Zbl 0268.18017

MSC:

13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
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[1] Michael Barr, Harrison homology, Hochschild homology and triples, J. Algebra 8 (1968), 314 – 323. · Zbl 0157.04502 · doi:10.1016/0021-8693(68)90062-8
[2] Michael Barr and Jon Beck, Homology and standard constructions, Sem. on Triples and Categorical Homology Theory (ETH, Zürich, 1966/67), Springer, Berlin, 1969, pp. 245 – 335. · Zbl 0176.29003
[3] J. Beck, Triples, algebras and cohomology, Dissertation, Columbia University, New York, 1967.
[4] P. Fleury, Aspects of Harrison’s homology theory, Dissertation, University of Illinois, Urbana, Illinois, 1970.
[5] Patrick J. Fleury, Splittings of Hochschild’s complex for commutative algebras, Proc. Amer. Math. Soc. 30 (1971), 405 – 411. · Zbl 0223.18013
[6] Roger Godement, Topologie algébrique et théorie des faisceaux, Actualit’es Sci. Ind. No. 1252. Publ. Math. Univ. Strasbourg. No. 13, Hermann, Paris, 1958 (French). · Zbl 0080.16201
[7] D. K. Harrison, Commutative algebras and cohomology, Trans. Amer. Math. Soc. 104 (1962), 191 – 204. · Zbl 0106.25703
[8] Peter J. Huber, Standard constructions in abelian categories, Math. Ann. 146 (1962), 321 – 325. · Zbl 0101.40701 · doi:10.1007/BF01441134
[9] Joachim Lambek, Lectures on rings and modules, With an appendix by Ian G. Connell, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1966. · Zbl 0365.16001
[10] Saunders MacLane, Homology, 1st ed., Springer-Verlag, Berlin-New York, 1967. Die Grundlehren der mathematischen Wissenschaften, Band 114. · Zbl 0059.16405
[11] Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. · Zbl 0136.00604
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