- abstract algebra
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the branch of mathematics that deals with the extension of algebraic concepts usually associated with the real number system to other, more general systems.
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Universalium. 2010.
abstract algebra
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Abstract algebra — This article is about the branch of mathematics. For the Swedish band, see Abstrakt Algebra. The permutations of Rubik s Cube have a group structure; the group is a fundamental concept within abstract algebra. Abstract algebra is the subject area … Wikipedia
List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this … Wikipedia
abstract algebra — noun The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields … Wiktionary
abstract algebra — the branch of mathematics that deals with the extension of algebraic concepts usually associated with the real number system to other, more general systems … Useful english dictionary
Derivation (abstract algebra) — In abstract algebra, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K derivation is a K linear map D: A → A that… … Wikipedia
Derivative algebra (abstract algebra) — In abstract algebra, a derivative algebra is an algebraic structure of the signature <A, ·, +, , 0, 1, D> where <A, ·, +, , 0, 1> is a Boolean algebra and D is a unary operator, the derivative operator, satisfying the identities: 0D … Wikipedia
Algebra (disambiguation) — Algebra is a branch of mathematics.Algebra may also mean: * elementary algebra * abstract algebra * linear algebra * universal algebra * computer algebraIn addition, many mathematical objects are known as algebras. * In logic: ** Boolean algebra… … Wikipedia
Simple (abstract algebra) — In mathematics, the term simple is used to describe an algebraic structures which in some sense cannot be divided by a smaller structure of the same type. Put another way, an algebraic structure is simple if the kernel of every homomorphism is… … Wikipedia
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
Abstract algebraic logic — In mathematical logic, abstract algebraic logic (AAL) studies the ways in which classes of algebras may be associated with logical systems, and how these classes of algebras interact with logical systems.OverviewThe archetypal association of this … Wikipedia
