**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

**Comparison of vector algebra and geometric algebra** — Vector algebra and geometric algebra are alternative approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical… … Wikipedia

**algebra** — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium

**algebraic** — algebraically, adv. /al jeuh bray ik/, adj. 1. of, occurring in, or utilizing algebra. 2. Math. of or pertaining to an element that is the root of a polynomial equation with coefficients from some given field. 3. using arbitrary letters or… … Universalium

**Algebra** — This article is about the branch of mathematics. For other uses, see Algebra (disambiguation). Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from… … Wikipedia

**Algebra of systems** — (AoS) is an executable systems modeling framework for system synthesis and evaluation [Koo 2007a] . It can be used to automate complex model reasoning tasks for system design projects. AoS provides a formal structure for reasoning about elements… … Wikipedia

**Algebraic 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… … Wikipedia

**Algebraic logic** — In mathematical logic, algebraic logic formalizes logic using the methods of abstract algebra.Logics as models of algebrasAlgebraic logic treats logics as models (interpretations) of certain algebraic structures, specifically as models of bounded … Wikipedia

**algebra, modern** — ▪ mathematics Introduction also called abstract algebra branch of mathematics concerned with the general algebraic structure of various sets (such as real numbers (real number), complex numbers (complex number), matrices (matrix), and… … Universalium