unital

unital
(of an algebra) containing a multiplicative identity element (or unit), i.e. an element 1 with the property 1x = x1 = x for all elements x of the algebra.

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  • Unital — In mathematics, an algebra is unital (some authors say unitary) if it contains a multiplicative identity element (or unit ), i.e. an element 1 with the property 1 x = x 1 = x for all elements x of the algebra.This is equivalent to saying that the …   Wikipedia

  • unital — unit·al …   English syllables

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  • Associative algebra — In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. They are thus special algebras. Definition An associative algebra A… …   Wikipedia

  • Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… …   Wikipedia

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