 algebraic structure

One or more sets together with a set of operations such that the sets are closed under the operations and are satisfying some axioms.
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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 combinatorics — is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. It is one of the… … Wikipedia
Algebraic code excited linear prediction — (ACELP) is a speech encoding algorithm where a limited set of pulses is distributed as excitation to linear prediction filter.The ACELP method is widely employed in current speech coding standards such as AMR, EFR, AMR WB and ITU T G series… … Wikipedia
Algebraic number theory — In mathematics, algebraic number theory is a major branch of number theory which studies the algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number… … Wikipedia
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … 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
Structure (category theory) — In mathematics, progress often consists of recognising the same structure in different contexts so that one method exploiting it has multiple applications. In fact this is a normal way of proceeding; in the absence of recognisable structure… … Wikipedia
Structure (disambiguation) — The structure of a thing is how the parts of it relate to each other, how it is put together .Structure may also refer to:* architectural structure, a man made structure used or intended for supporting or sheltering any use or continuous… … Wikipedia
Algebraic topology — is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism. In many situations this is too much to hope for… … Wikipedia
Algebraic biology — applies the algebraic methods of symbolic computation to the study of biological problems, especially in genomics, proteomics, analysis of molecular structures and study of genes.UsageComputations in the field of biology are done in order to… … Wikipedia