right module
51List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …
52Bimodule — In abstract algebra a bimodule is an abelian group that is both a left and a right module, such that the left and right multiplications are compatible. Besides appearing naturally in many parts of mathematics, bimodules play a clarifying role, in …
53Regular representation — In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself. ignificance of the regular representation of a groupTo say… …
54Supermodule — In mathematics, a supermodule is a Z2 graded module over a superring or superalgebra. Supermodules arise in super linear algebra which is a mathematical framework for studying the concept supersymmetry in theoretical physics.Supermodules over a… …
55Relative tensor product — Let A be a right R moduleand B be a left R module (see the definition of left and right module in module (mathematics)).The relative tensor product Aotimes R B is defined to be the quotient:Aotimes B/Iwhere I is the ideal generated by all… …
56Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most …
57Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …
58Simple ring — In abstract algebra, a simple ring is a non zero ring that has no ideal besides the zero ideal and itself. A simple ring can always be considered as a simple algebra.According to the Artin Wedderburn theorem, every simple ring that is left or… …
59Goldie's theorem — In mathematics, Goldie s theorem is a basic structural result in ring theory, proved by Alfred Goldie (1920 2005) during the 1950s. It gives a result on the noetherian rings that have a classical ring of quotients, that is a semisimple artinian… …
60Semiprimitive ring — In mathematics, especially in the area of algebra known as ring theory, a semiprimitive ring is a type of ring more general than a semisimple ring, but where simple modules still provide enough information about the ring. Important rings such as… …
