skew commutative
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Skew lattice — In abstract algebra, a skew lattice is an algebraic structure that is a non commutative generalization of a lattice. Definition A skew lattice is a set S equipped with two associative, idempotent binary operations wedge and vee, called meet and… … Wikipedia
skew field — (Mathematics) is a ring in which every nonzero element has a multiplicative inverse but multiplication is not necessarily commutative (abstract algebra) … English contemporary dictionary
skew field — noun : a mathematical field in which multiplication is not commutative * * * Math. a ring in which the equations ax = b and xa = b have solutions for x … Useful english dictionary
Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… … Wikipedia
Supercommutative algebra — In mathematics, a supercommutative algebra is a superalgebra (i.e. a Z2 graded algebra) such that for any two homogeneous elements x, y we have Equivalently, it is a superalgebra where the supercommutator always vanishes. Algebraic structures… … Wikipedia
Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… … Wikipedia
Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the … Wikipedia
Division ring — In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a non trivial ring in which every non zero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1 … Wikipedia
List 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… … Wikipedia
Outline 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… … Wikipedia
Glossary 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… … Wikipedia
