On the André–Quillen homology of Tambara functors

@article{Hill2017OnTA,
  title={On the Andr{\'e}–Quillen homology of Tambara functors},
  author={Michael A. Hill},
  journal={Journal of Algebra},
  year={2017},
  volume={489},
  pages={115-137}
}
  • M. Hill
  • Published 2017
  • Mathematics
  • Journal of Algebra
Abstract We lift to equivariant algebra three closely related classical algebraic concepts: abelian group objects in augmented commutative algebras, derivations, and Kahler differentials. We define Mackey functor objects in the category of Tambara functors augmented to a fixed Tambara functor R _ , and we show that the usual square-zero extension gives an equivalence of categories between these Mackey functor objects and ordinary modules over R _ . We then describe the natural generalization to… Expand
Free incomplete Tambara functors are almost never flat
Free algebras are always free as modules over the base ring in classical algebra. In equivariant algebra, free incomplete Tambara functors play the role of free algebras and Mackey functors play theExpand

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