An Introduction to Homological Algebra

@inproceedings{Wiebel2002AnIT,
  title={An Introduction to Homological Algebra},
  author={C Wiebel},
  year={2002}
}

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References

SHOWING 1-10 OF 133 REFERENCES
A) denote the torsion subgroup of an abelian group A. Then T is a functor from Ab to itself, and the inclusion T(A) c A is a natural transformation T * idAb
we constructed the total Horn cochain complex Horn.(A) B), and observed that H" Horn.(A) B) is the group of chain homotopy equivalence classes of morphisms A + B
  • That is, HomK(d)(A, T"B) = Hn(Hom
1213
  • Berlin, Heidelberg, New York Springer-Verlag,
  • 1986
Basic Algebra = 代数学入門
Determine the value of the variable in each equation.
Melbourne
  • 1996
Étale descent for hochschild and cyclic homology
AbstractIfB is an étale extension of ak-algebraA, we prove for Hochschild homology thatHH*(B)≅HH*(A)⊗AB. For Galois descent with groupG there is a similar result for cyclic homology:HC*≅HC*(B)G if
Basic Algebra II
ìThe extraordinary derived category.î
  • Math. Zeit
  • 1987
...
1
2
3
4
5
...