In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature...

universal algebra, an algebraic structure is called an algebra; this term may be ambiguous, since, in other contexts, an algebra is an algebraic structure...

mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure...

"algebra" can also refer to other algebraic structures, like a Lie algebra or an associative algebra. The word algebra comes from the Arabic term الجبر...

the event of a dispute. The term "algebraic notation" may be considered a misnomer, as the system is unrelated to algebra. Each square of the board is...

the term Boolean algebra was first suggested by Henry M. Sheffer in 1913, although Charles Sanders Peirce gave the title "A Boolian [sic] Algebra with...

polynomial, or a series, a special case of a summand Term algebra, a freely generated algebraic structure Term logic, an approach to logic that began with Aristotle...

algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures...

reasons, the term B*-algebra is rarely used in current terminology, and has been replaced by the term 'C*-algebra'. The term C*-algebra was introduced...

elements. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term abstract algebra was coined...

equation), he has been described as the father or founder of algebra. The English term algebra comes from the short-hand title of his aforementioned treatise...

In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative analogue of a polynomial ring since...

multivariate polynomial equation over the rationals. For many authors, the term algebraic equation refers only to the univariate case, that is polynomial equations...

Similarly the term "algebra over X {\displaystyle X} " is used in the sense of a Boolean algebra and should not be confused with algebras over fields or...

important in, for example, term rewriting. Given a signature for the function symbols, the set of all terms forms the free term algebra. The set of all ground...

algebraic statistics has been associated with the design of experiments and multivariate analysis (especially time series). In recent years, the term...

to the same set. The term algebraic operation may also be used for operations that may be defined by compounding basic algebraic operations, such as the...

{b^{2}-4ac}}}{2a}}}}}} Elementary algebra, also known as high school algebra or college algebra, encompasses the basic concepts of algebra. It is often contrasted...

article we will also use the term K-algebra to mean an associative algebra over K. A standard first example of a K-algebra is a ring of square matrices...

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until...

of a function Domain theory Interpretation (logic) Quantifier (logic) Term algebra Universe (mathematics) Corcoran, John. Universe of discourse. Cambridge...

field is algebraically closed if the fundamental theorem of algebra holds for it. Every field K {\displaystyle K} is contained in an algebraically closed...

In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with...

objects are sequences of symbols, the objects of a term rewriting system form a term algebra. A term can be visualized as a tree of symbols, the set of...

Leeuwen (ed.). Algebraic Specification. Handbook of Theoretical Computer Science. Vol. B. Elsevier. pp. 675–788., here: p. 682. From a term algebra point of...

Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...

Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins...

areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations:...