unary algebra
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Unary operation — In mathematics, a unary operation is an operation with only one operand, i.e. a single input. Specifically, it is a function where A is a set. In this case f is called a unary operation on A. Common notations are prefix notation (e.g. +, −, not) … Wikipedia
Algebra of sets — The algebra of sets develops and describes the basic properties and laws of sets, the set theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures … Wikipedia
Universal algebra — (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ( models ) of algebraic structures.For instance, rather than take particular groups as the object of study, in universal… … Wikipedia
Boolean algebra — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… … Wikipedia
Boolean algebra (introduction) — Boolean algebra, developed in 1854 by George Boole in his book An Investigation of the Laws of Thought , is a variant of ordinary algebra as taught in high school. Boolean algebra differs from ordinary algebra in three ways: in the values that… … Wikipedia
Relational algebra — Not to be confused with Relation algebra. Relational algebra, an offshoot of first order logic (and of algebra of sets), deals with a set of finitary relations (see also relation (database)) that is closed under certain operators. These operators … Wikipedia
Boolean algebra (structure) — For an introduction to the subject, see Boolean algebra#Boolean algebras. For the elementary syntax and axiomatics of the subject, see Boolean algebra (logic). For an alternative presentation, see Boolean algebras canonically defined. In abstract … Wikipedia
Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… … Wikipedia
Relation algebra — is different from relational algebra, a framework developed by Edgar Codd in 1970 for relational databases. In mathematics, a relation algebra is a residuated Boolean algebra supporting an involutary unary operation called converse. The… … Wikipedia
MV-algebra — In abstract algebra, a branch of pure mathematics, an MV algebra is an algebraic structure with a binary operation oplus, a unary operation eg, and the constant 0, satisfying certain axioms. MV algebras are models of Łukasiewicz logic; the… … Wikipedia
Monadic Boolean algebra — In abstract algebra, a monadic Boolean algebra is an algebraic structure with signature 〈A, ·, +, , 0, 1, ∃〉 of type 〈2,2,1,0,0,1〉, where 〈A, ·, +, , 0, 1〉 is a Boolean algebra. The prefixed unary operator ∃ denotes the existential quantifier,… … Wikipedia
