Deltas of Hochschild dimension one
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- by Charles Ching-An Cheng
- Proc. Amer. Math. Soc. 67 (1977), 221-223
- DOI: https://doi.org/10.1090/S0002-9939-1977-0476834-1
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Abstract:
A theorem of Mitchell says that free categories have Hochschild dimension $\leqslant 1$. The converse is shown to be true for all deltas (i.e. small skeletal categories whose only endomorphisms are the identities).References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Barry Mitchell, Rings with several objects, Advances in Math. 8 (1972), 1–161. MR 294454, DOI 10.1016/0001-8708(72)90002-3
- John R. Stallings, On torsion-free groups with infinitely many ends, Ann. of Math. (2) 88 (1968), 312–334. MR 228573, DOI 10.2307/1970577
- Richard G. Swan, Groups of cohomological dimension one, J. Algebra 12 (1969), 585–610. MR 240177, DOI 10.1016/0021-8693(69)90030-1
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 221-223
- MSC: Primary 18G20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0476834-1
- MathSciNet review: 0476834