Tor Functor

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In homological algebra, the Tor functors are the derived functors of the tensor product functor. They were first defined in generality to express the Künneth theorem and universal coefficient theorem in algebraic topology. Specifically, suppose R is a ring, and denote by R-Mod the category of left R-modules and by Mod-R the category of right R-modules (if R is commutative, the two categories coincide). Pick a fixed module B in R-Mod. For A in Mod-R, set T(A) = A RB. Then T is a right exact functor from Mod-R to the category of abelian groups Ab (in the case when R is commutative, it is a right exact functor from Mod-R to Mod-R) and its left derived functors LnT are defined.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131236297
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131236297
    • Format Fachbuch
    • Titel Tor Functor
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 76
    • Genre Mathematik

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