Change of rings
In algebra, given a ring homomorphism , there are three ways to change the coefficient ring of a module; namely, for a left R-module M and a left S-module N,
* , the induced module.
* , the coinduced module.
* , the restriction of scalars. They are related as adjoint functors: and This is related to Shapiro's lemma.
Arithmetic Fuchsian groupArithmetic hyperbolic 3-manifoldAssociative algebraCellular algebraCoinduced moduleComplex vector bundleComplexificationCovering groups of the alternating and symmetric groupsExtension of scalarsField extensionFrobenius algebraFrobenius reciprocityFundamental theorem of algebraic K-theoryGlossary of module theoryGlossary of ring theoryGroup schemeInduced moduleKähler differentialLinear complex structureP-adic Hodge theoryQuadratic Jordan algebraQuaternion algebraReal structureRestriction of scalarsRing (mathematics)Ring homomorphismScalar extensionSix operationsTensor product of algebrasTensor product of fieldsTensor product of modulesTorsion (algebra)Tropical geometryVerma module
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Change of rings
In algebra, given a ring homomorphism , there are three ways to change the coefficient ring of a module; namely, for a left R-module M and a left S-module N,
* , the induced module.
* , the coinduced module.
* , the restriction of scalars. They are related as adjoint functors: and This is related to Shapiro's lemma.
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In algebra, given a ring homom ...... is related to Shapiro's lemma.
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In algebra, given a ring homom ...... is related to Shapiro's lemma.
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Change of rings
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