identity element

(redirected from Left identity)
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  • noun

Synonyms for identity element

an operator that leaves unchanged the element on which it operates

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References in periodicals archive ?
(i) left identity (resp., pure left identity) if for all a [member of] H, a [member of] e [??] a (resp., a = e [??] a),
Let F(H) be the set of all ([[member of].sub.[gamma]], [[member of].sub.[gamma]] [[disjunction]q.sub.[delta]])-fuzzy hyperideals of H and H have the pure left identity. Then for any f,g,h [member of](H), f [??](g [??] h)=g [??] (f [??] h).
On generalized fuzzy sets in ordered LA-semihypergroups
This is left identity that turns into non personal power over reason, thinking and action of citizens, specific "Censor" that colonises, reduces and gains control over liberal identity.
A NEW DEAL BETWEEN DEMOSES AND THEIR ELITES NECESSARY TO SAVE EUROPE
Let us define a binary operation "[[omicron].sub.e]" (e-sandwich operation) on an ordered AG-groupoid (S, *, [less than or equal to]) with left identity e as follows:
By a unitary ordered AG-groupoid, we shall mean an ordered AG-groupoid with left identity unless otherwise specified.
A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals
Let H be an ordered LA-semihypergroup with pure left identity e.
On ([member of], [member of] [V.sub.qk])-Fuzzy Hyperideals in Ordered LA-Semihypergroups
Let a, b, c [member of] S, where S is a left almost semigroup with left identity e.
Mathematical Modeling for Inherited Diseases
There can be a unique left identity in a neutrosophic LA-semigroup.
Neutrosophic set approach for characterizations of left almost semigroups
Further if an AG -groupoid contains a left identity, the following law holds
Structural properties of neutrosophic Abel-Grassmann's groupoids
Key Words: Ordered LA-semigroup, left identity, left invertive law and fuzzy interior ideals.
ON FUZZY INTERIOR IDEALS OF ORDERED LA-SEMIGROUPS
But in the long run, without the support of a durable new left identity, this actor (to continue the theatrical metaphor) might well run the risk of over-exposure and media burnout, with the danger that his party could follow suit.
Berlusconi of the left? Does the rise of Nichi Vendola in Italy offer new hope for the left?
If an AG-groupoid G has a left identity e then it is unique.
On Abel-Grassmann's groupoids defined by vector spaces
(1) A right hypotopological lea A has a left bai if and only if (A", <>) has a left identity.
Criteria of existence of bounded approximate identities in topological algebras
If a proper subset M, sub near-ring of N, in which M has left identity and M is 0-primitive on [M.sup.M].
On finite Smarandache near-rings
An LA-semigroup with left identity satisfies the following Law,
Neutrosophic left almost semigroup
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