algebraic structure


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algebraic structure

(mathematics)
Any formal mathematical system consisting of a set of objects and operations on those objects. Examples are Boolean algebra, numerical algebra, set algebra and matrix algebra.

References in periodicals archive ?
Inspired by the above discussion, in the present work we combine the idea of Q-NSS and group theory to conceptualize the notion of Q-neutrosophic soft groups (Q-NSGs) as a generalization of neutrosophic soft groups and soft groups; it is a new algebraic structure that deals with two-dimensional universal set under uncertain and indeterminate data.
Students with a well-developed sense of algebraic structure will recognise at a glance that 2x + 1 is a common factor [(2x + 1).sup.2] - 3(2x + 1) or notice that the bracketed objects in [(2x + 1).sup.2] - 3x (2x + 5) differ.
Reed discussed the nonassociative algebraic structure of genetic inheritance in [8].
The algebraic structure of semirings were first introduced by H.
If *: X(I) x X(I) [right arrow] X(I) is a binary operation defined on X(I), then the couple (X(I), *) is called a neutrosophic algebraic structure and it is named according the axioms satisfied by *.
In Section 2 we present the algebraic structure given in [6].
The interesting, but restrictive, algebraic structure of the model, containing a 3-algebra with antisymmetric structure constants, turned out to have only one finite-dimensional realization [24,25], possible to interpret in terms of two M2-branes [26,27] (see, however, [28-30] dealing with the infinite-dimensional solution related to volume-preserving diffeomorphisms in three dimensions).
An Abel- Grassmann's groupoid, abbreviated as an AG-groupoid (or in some papers left almost semigroup), is a non-associative algebraic structure mid way between a groupoid and a commutative semigroup.
Besides, in [12] Bandyopadhyay and Godefroy studied the algebraic structure of the set of norm attaining functionals on a Banach space.
Studying such polynomial equations in the multivariate setting is more complicated due to the much more complex algebraic structure of the ring of multivariate polynomials.
"One challenge of the research is the matching of the algebraic structure to the data and problems at hand," Albanese said.
--design algebraic structure as process algebra from the informal description specification