nonzero idempotent
1Zero divisor — In abstract algebra, a nonzero element a of a ring is a left zero divisor if there exists a nonzero b such that ab = 0.[1] Similarly, a nonzero element a of a ring is a right zero divisor if there exists a nonzero c such that ca = 0. An element… …
2Outline 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… …
3List 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… …
4Algebraic 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… …
5Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples …
6Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …
7Quasigroup — In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that division is always possible. Quasigroups differ from groups mainly in that they need not be associative. A quasigroup with …
8Pseudo-ring — In abstract algebra, a rng (also called a pseudo ring or non unital ring) is an algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element. The term rng (pronounced rung) is meant to …
9Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …
10Von Neumann regular ring — In mathematics, a ring R is von Neumann regular if for every a in R there exists an x in R with : a = axa .One may think of x as a weak inverse of a ; note however that in general x is not uniquely determined by a .(The regular local rings of… …
