Homology and Cohomology with Coefficients
Recall that the tensor product M ⊗ R N is defined whenever M is a right R-module and N is a left R-module. It is the quotient of M ⊗ Z N (which we denote M ⊗ N) obtained by introducing the relations mr ⊗ n = m ⊗ rn (m ∈ M, r ∈ R, n ∈ N).
KeywordsAbelian Group Exact Sequence Chain Complex Short Exact Sequence Homological Functor
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