Abstract
Using the functors Ext n in an appropriate category of functors MacLane ring cohomology [66] will be extended to a wider domain of applicability ensuring that it forms a right universal exact sequence of functors ; then it will be generalized to algebraic theories and its relationship with Barr and Beck’s cotriple cohomology [4] will be established. At the end of this section it will be shown that MacLane homology of discrete rings [66] is isomorphic to topological Hochschild homology.
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© 1997 Springer Science+Business Media Dordrecht
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Inassaridze, H. (1997). Cohomology of algebraic theories and MacLane (co)homology of rings. In: Non-Abelian Homological Algebra and Its Applications. Mathematics and Its Applications, vol 421. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8853-9_5
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DOI: https://doi.org/10.1007/978-94-015-8853-9_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4899-8
Online ISBN: 978-94-015-8853-9
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