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The Theory of Pure Algebraic (Co)Homology

The Theory of Pure Algebraic (Co)Homology

Polynomial: algebra is essential in commutative algebra since it can serve as a fundamental model for differentiation.For module differentials and Loday's differential commutative graded algebra, simplified homology for polynomial algebra was defined.In this article, the definitions of the simplicial, the cyclic, and the dihedral homology of pure algebra are presented.The …