free object
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Free object — In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. It is a part of universal algebra, in the sense that it relates to all types of algebraic structure (with finitary operations). It also has a clean… … Wikipedia
Free — may refer to: Free will Political freedom Economic freedom Something given or supplied without payment (gratis) Gratis versus Libre, the distinction between the two meanings above Free may also refer to: Contents 1 Arts and philosophy … Wikipedia
Free algebra — This article is about free algebras in ring theory. For the more general free algebras in universal algebra, see free object. In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative… … Wikipedia
Free lattice — In mathematics, in the area of order theory, a free lattice is the free object corresponding to a lattice. As free objects, they have the universal property. The word problem for free lattices is also challenging.Formal definitionAny set X may be … Wikipedia
Free module — In mathematics, a free module is a free object in the category of modules. Given a set S , a free module on S is a (particular construction of a) free module with basis S .Every vector space is free, and the free vector space on a set is a… … Wikipedia
Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… … Wikipedia
Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets … Wikipedia
Free monoid — In abstract algebra, the free monoid on a set A is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from A , with the binary operation of concatenation. It is usually denoted A lowast;. The identity… … Wikipedia
Free product — In abstract algebra, the free product of groups constructs a group from two or more given ones. Given, for example, groups G and H , the free product G*H can be constructed as follows: given presentations of G and of H , take the generators of G… … Wikipedia
Object Pascal — Paradigm(s) imperative, structured, object oriented, functional (Delphi dialect only) Appeared in 1986 (1986) Designed by Apple, Niklaus Wirth, Anders Hejlsberg … Wikipedia
Object Pascal — Семантика: императивная Класс языка: мультипарадигмальный: императивный, структурный, объектно ориентированный, обобщённый[1], процедурный Тип исполнения: компилируемый … Википедия
