unit element

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unit element

[′yü·nət ′el·ə·mənt]
(mathematics)
An element in a ring which acts as a multiplicative identity.
References in periodicals archive ?
In fact, in Section 4, we show that when [sigma] : [0,1] [right arrow] [0,1] is any continuous map with a dense set of almost periodic points, then there is a simple C*-algebra A, obtained as above, with a unital endomorphism inducing a map on the extremal trace space of A which is conjugate to [sigma].
Clearly if A is a commutative semisimple unital complex Banach algebra with unit element e, then the maximum set M([i.
Suppose A is a unital Banach subalgebra of A(X), containing the coordinate function z.
Let E be a unital topological algebra, H a subspace of E containing the constants and separating the points of M(E), and [Ch.
A two-dimensional unital division algebra B is spanned by the identity element 1 and some element b [member of] B \ R1.
We first construct the unital versions of the higher order peak algebras by a simple manipulation of generating series.
ii) A is a nuclear von Neumann algebra and K([epsilon]) is unital.
Let (A, [phi]) be a noncommutative probability space, that is A is a unital algebra over C and [phi]: A [right arrow] C is a linear functional such that [phi]([1.
infinity]] (X) is a mean on X if it is unital and [parallel][mu][parallel] = 1.
All vector spaces and algebras, considered here, are over the field C of complexes, while the algebras are unital.
The importance of the SOT lies in the celebrated Kaplansky's Bicommutant Theorem stating that the following are equivalent for a unital, self-adjoint subalgebra M of B(H):

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