The associative property in algebra is important for organization of numbers. Rearranging the numbers and parenthesis will not change values but instead make the equation more convenient.
Different types of Algebra are:Algebra over a field or more generally algebra over a ring.Many classes of algebras over a field or over a ring have a specific name: Associative algebraNon-associative algebraLie algebraHopf algebraC*-algebraSymmetric algebraExterior algebraTensor algebraIn measure theory, Sigma-algebraAlgebra over a setIn category theory F-algebra and F-coalgebraT-algebraIn logic, Relational algebra: a set of finitary relations that is closed under certain operators.Boolean algebra, a structure abstracting the computation with the truth values false and true. See also Boolean algebra (structure).Heyting algebra
It involves 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings are within the parenthesis.
There is no synonym for the associative properties.
No because the associative property can be found in other operations as well.
Alternative algebra is a form of algebra such that every subalgebra generated by two elements is associative.
The associative property in algebra is important for organization of numbers. Rearranging the numbers and parenthesis will not change values but instead make the equation more convenient.
commutative
Different types of Algebra are:Algebra over a field or more generally algebra over a ring.Many classes of algebras over a field or over a ring have a specific name: Associative algebraNon-associative algebraLie algebraHopf algebraC*-algebraSymmetric algebraExterior algebraTensor algebraIn measure theory, Sigma-algebraAlgebra over a setIn category theory F-algebra and F-coalgebraT-algebraIn logic, Relational algebra: a set of finitary relations that is closed under certain operators.Boolean algebra, a structure abstracting the computation with the truth values false and true. See also Boolean algebra (structure).Heyting algebra
A. Adrian Albert has written: 'Fundamental concepts of higher algebra' -- subject(s): Algebra 'Studies in modern algebra' -- subject(s): Algebra 'College algebra' -- subject(s): Algebra 'An introduction to finite projective planes' 'Structure of algebras' -- subject(s): Algebraic fields, Associative algebras, Linear Algebras
Joachim Lambek has written: 'Lectures on rings and modules' -- subject(s): Associative rings, Rings (Algebra), Homology theory, Modules (Algebra) 'Torsion theories, additive semantics, and rings of quotients' -- subject(s): Categories (Mathematics), Modules (Algebra), Rings (Algebra), Torsion theory (Algebra)
associative Abelian (named after Abel, and means commutative) Argand diagram (in complex numbers) Asymptote (asymptotic)
It involves 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings are within the parenthesis.
There are quite a few, but here are some:The distributive x(y+z)=xy+xzThe associative x+y=y+xand many others!
P. M. Cohn has written: 'Skew field construction' -- subject(s): Rings (Algebra) 'Algebra' -- subject(s): Abstract Algebra, Algebra, Algebra, Abstract 'Free ringsand their relations' -- subject(s): Associative rings 'Skew field constructions' -- subject(s): Division rings, Algebraic fields 'Algebra. Volume 2.' 'Algebraic numbers and algebraic functions' -- subject(s): Algebraic functions, Algebraic fields
No it is not an associative property.
There is no synonym for the associative properties.