unital


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unital

(ˈjuːnɪtəl)
n
literary based on or characterized by union
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It is proved in [1] that if A is an associative unital graded C-algebra and v is an element of grading one of this algebra satisfying [v.
MATHEMATICAL EXPRESSION OMITTED] of interval algebras with unital injective connecting *-homomorphisms such that the inductive limit C*-algebra A = lim ([A.
Recently, by proving some Mazur-Ulam type theorems, in [5] and [6], Hatori investigated the problem of linear extendability of surjective isometries between open subgroups (or certain open subsets) of invertible elements of unital Banach algebras see [5, Theorem 3.
T, satisfying appropriate associativity and unital conditions, and naturality with respect to bijections.
By this we always mean that R is an additive group equipped with a multiplication which is associative and unital.
A unital subalgebra A of C(X) that separates the points of X is a function algebra on X.
A Hopf algebra is a unital associative algebra H that is also a coalgebra whose structure maps (coproduct [DELTA] and counit [epsilon]) are algebra homomorphisms, with the additional condition of having an antipode.
H](E) is accomplished in a unital topological algebra with M(E) compact and H a subspace of E containing the constants and separating the points of M(E) [3, p.
n] can be naturally extended to a unital algebra, which is obtained as a homomorphic image of the descent algebra of the hyperoctahedral group [B.
Here, we give a direct proof of this fact (and write an explicit formula for the isomorphism) when A is unital.
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