Algebraic deformations and triple cohomology
HTML articles powered by AMS MathViewer
- by Thomas F. Fox PDF
- Proc. Amer. Math. Soc. 78 (1980), 467-472 Request permission
Abstract:
The fundamental theorems of algebraic deformation theory are shown to hold in the context of enriched triple cohomology. This unifies and generalizes the classical theory.References
- Michael Barr, Coalgebras over a commutative ring, J. Algebra 32 (1974), no. 3, 600–610. MR 401881, DOI 10.1016/0021-8693(74)90161-6
- 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. MR 0258917 J. Beck, Triples, algebras and cohomology, Dissertation, Columbia University (1967).
- Jane Purcell Coffee, Filtered and associated graded rings, Bull. Amer. Math. Soc. 78 (1972), 584–587. MR 297815, DOI 10.1090/S0002-9904-1972-13014-3 T. F. Fox, Universal coalgebras, Dissertation, McGill University (1977).
- Murray Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59–103. MR 171807, DOI 10.2307/1970484
- Murray Gerstenhaber, On the deformation of rings and algebras. II, Ann. of Math. 84 (1966), 1–19. MR 0207793, DOI 10.2307/1970528
- Murray Gerstenhaber, On the deformation of rings and algebras. IV, Ann. of Math. (2) 99 (1974), 257–276. MR 389978, DOI 10.2307/1970900
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 467-472
- MSC: Primary 16A58; Secondary 18D20
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556613-7
- MathSciNet review: 556613