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Fox, Thomas F.

Algebraic deformations and triple cohomology. (English) Zbl 0457.16016

Proc. Am. Math. Soc. 78, 467-472 (1980).
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Cited in 5 Documents

MSC:

16S80 Deformations of associative rings
16B50 Category-theoretic methods and results in associative algebras (except as in 16D90)
17B56 Cohomology of Lie (super)algebras
13D10 Deformations and infinitesimal methods in commutative ring theory
18D20 Enriched categories (over closed or monoidal categories)
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads

Keywords:

triples; enrichment of category of coalgebras; Barr-Beck cohomology groups; enriched cohomology groups; cohomology of deformed algebras

Citations:

Zbl 0123.031; Zbl 0147.289; Zbl 0176.290
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Full Text: DOI

References:

[1] Michael Barr, Coalgebras over a commutative ring, J. Algebra 32 (1974), no. 3, 600 – 610. · Zbl 0305.18006 · doi:10.1016/0021-8693(74)90161-6
[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 (1967).
[4] Jane Purcell Coffee, Filtered and associated graded rings, Bull. Amer. Math. Soc. 78 (1972), 584 – 587. · Zbl 0262.16028
[5] T. F. Fox, Universal coalgebras, Dissertation, McGill University (1977).
[6] Murray Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59 – 103. · Zbl 0123.03101 · doi:10.2307/1970484
[7] Murray Gerstenhaber, On the deformation of rings and algebras. II, Ann. of Math. 84 (1966), 1 – 19. · Zbl 0147.28903 · doi:10.2307/1970528
[8] Murray Gerstenhaber, On the deformation of rings and algebras. IV, Ann. of Math. (2) 99 (1974), 257 – 276. · Zbl 0281.16016 · doi:10.2307/1970900
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