special notations in algebra

  • [G:H],   index (http://planetmath.org/Coset) of a subgroupMathworldPlanetmathPlanetmath H in the group G

  • HG,   H is a normal subgroupMathworldPlanetmath of G

  • G/H,   quotient groupMathworldPlanetmath of G with respect to the normal subgroup H

  • R/I or R-I,   quotient ringMathworldPlanetmath or difference ring of R with respect to the ideal I

  • Z(G),   center of the group G

  • R[G],   group ringMathworldPlanetmath of the group G over the ring R

  • R[α],   ring adjunction

  • K(α),   field adjunction

  • S-1R,   localizationMathworldPlanetmath of the ring R at S

  • R𝔭,   localization of the ring R at the complement of the prime idealMathworldPlanetmathPlanetmath 𝔭

  • (R,𝔪),   local ringMathworldPlanetmath R with its maximal idealMathworldPlanetmath 𝔪

  • MR,   a left R-module (http://planetmath.org/Module) M

  • MR,   a right R-module (http://planetmath.org/Module) M

  • K/k,   field extension where K is an extension field of k

  • [K:k],   degree (http://planetmath.org/ExtensionField) of the field extension K/k

  • K¯,   algebraic closureMathworldPlanetmath of a field K

  • Rα1++Rαn  or  α1,,αn,   left idealMathworldPlanetmathPlanetmath of the ring R generated by (http://planetmath.org/IdealGeneratedByASet) α1, …, αn

  • A1A2,   isomorphismPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath (http://planetmath.org/Isomorphism) between the systems (http://planetmath.org/AlgebraicSystem) A1 and A2

Title special notations in algebra
Canonical name SpecialNotationsInAlgebra
Date of creation 2013-03-22 15:11:50
Last modified on 2013-03-22 15:11:50
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 22
Author Wkbj79 (1863)
Entry type Topic
Classification msc 08A99
Synonym notations in algebra