# algebraic structure

(redirected from Algebraic system)

## 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 ?
An algebraic system (S, +, x) is called a semiquasi-near-ring (or right semiquasi-near-ring) if it satisfies the following three conditions:
The non-linear algebraic system is checked iteratively, adjusting the values for the thermal capacity.
As they build their case for the shape generators (Minkowski addition and decomposition) they explain fundamental and advanced relationships between the algebraic system and shape descriptions through set theory, build image processing geo-chronology and mathematics through algebraic geometry, and provide a shape description notational scheme.
Observe that for algebraic transition probabilities the rate of escape is obtained by solving the algebraic system of equations (3).
Requirements for achieving the chess merit badge include such things as learning scorekeeping using the algebraic system of chess notation and explaining the four rules for castling.
Depending of the type of the leaning we write the boundary conditions and we obtain an algebraic system.
Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach
Another mathematician and philosopher by the name of George Boole published a paper in 1847 called "The Mathematical Analysis of Logic" that describes an algebraic system of logic, now known as Boolean algebra.
They begin by introducing the algebraic system of a valuation algebra and defining generic inference algorithms for their processing.

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