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 ?
Various quantale-like structures (quantales, locales, quantale modules, quantale algebras, unital quantales, etc.
1 that kB is unital if and only if B is connected and, moreover, the [DELTA]([B.
In this note, we introduce a generalized trace from a *-ideal I of a unital [C.
algebra and a unital inverse semigroup by an action [beta] .
Standard results in Lindelof spaces in unital topology are extended to bitopological setting and prove some properties of the pairwise regular Lindelof spaces and also weakness properties of Lindelof.
SECTIONAL REPRESENTATION OF UNITAL STRONGLY GALBED ALGEBRAS
This mathematical monographs brings together the use of realization theorems related to the non-classification theory of the category of Mod-R of arbitrary modules over a general associative unital ring R combined with the approximation theory of modules, which has been developed in order to select suitable subcategories C that allow classification, and then approximate arbitrary modules by the ones from C.
In [14], the present author investigated hypergeometric and basic hypergeometric series involving noncommutative parameters and argument (short: noncommutative hypergeometric series, and noncommutative basic or Q-hypergeometric series) over a unital ring R (or, when considering nonterminating series, over a unital Banach algebra R) from a different, nevertheless completely elementary, point of view.
where A is a unital algebra whose elements are interpreted as
Let A be a unital semitopological algebra, m(A) the set of all closed two-sided ideals in A, which are maximal as left or right ideals in A.
Kruml have shown that any quantale can be embedded into a unital quantale.

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