different between algebraic vs noncommutative
algebraic
English
Etymology
algebra +? -ic
Pronunciation
- IPA(key): /?æld???b?e??k/
- Rhymes: -e??k
Adjective
algebraic (comparative more algebraic, superlative most algebraic)
- Of, or relating to, algebra.
- (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
- (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
- (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
- (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.
Antonyms
- (that is the root of some polynomial): transcendental
- (whose every element is the root of some polynomial): transcendental
Hyponyms
- (that is the root of some polynomial): quadratic number
Derived terms
- algebraic function
- algebraic equation
- algebraical
- algebraically
- algebraicize
- (of or relating to algebra):
- algebraic geometry
- algebraic number theory
- algebraic structure
- (that is a root of some polynomial):
- algebraic integer
- algebraic number
Translations
Catalan
Pronunciation
- (Balearic, Central) IPA(key): /??.???b?ajk/
- (Valencian) IPA(key): /a?.d??e?b?ajk/
Adjective
algebraic (feminine algebraica, masculine plural algebraics, feminine plural algebraiques)
- algebraic
- Synonym: algèbric
Derived terms
- algebraicament
Related terms
- àlgebra
Further reading
- “algebraic” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.
algebraic From the web:
- what algebraic expression
- what algebraic expression represents gk
- what algebraic property is a=a
- what algebraic property is 5+3(2x-7)=5+6x-21
- what algebraic expression with many terms
- what algebraic expressions can be factored
- what is algebraic expression examples
- how to explain an algebraic expression
noncommutative
English
Etymology
non- +? commutative
Adjective
noncommutative (not comparable)
- (of an algebraic structure) Not having commutativity of all elements under its operation.
Translations
Further reading
- noncommutative on Wikipedia.Wikipedia
noncommutative From the web:
- what is noncommutative geometry
- what does noncommutative mean
- what does noncommutative mean in math
- what are noncommutative rings
- what is noncommutative spacetime
- what does noncommutative
- what is a noncommutative group
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