identity element


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Related to identity element: Inverse element
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  • noun

Synonyms for identity element

an operator that leaves unchanged the element on which it operates

References in periodicals archive ?
Let R be a commutative Q-algebra with the identity element 1.
Thus, e = (1,0,0,0) is the multiplicative identity element in (NQ,.
Definition 10 Semi component of an identity element of an irresolute topological group (Eq.
5) As identity elements must be unique, the operation does not have an identity; however, in order for the operation to have no effect on an individual input, the other 'input' must be a person (or robot
We suppose that the token is at the identity element in the beginning of the game.
With regards to the position occupied by the visual identity element in the videos, the most frequent are: full screen (in nearly 25%) and central (in 24.
There is an open relatively compact neighborhood O of the identity element of G with [O.
However our understanding is that monoids include an identity element and semigroups do not.
H],*) be a special quasigroup (loop) with identity element e.
A two-dimensional unital division algebra B is spanned by the identity element 1 and some element b [member of] B \ R1.
of New Mexico) call the graphs identify graphs, because the main role in obtaining them is the identity element of the group.
Let U be the complexified universal enveloping algebra of the real Lie algebra g of G; which is canonically isomorphic onto the algebra of all distributions on G supported by {0} , where 0 is the identity element of G.
In some analyses, a salient identity element has been MHC's placement on the occupation-profession continuum (cf.
Part 2 contains chapters that address identity in earl y, middle, and late adolescence, as well as a further chapter of selected issues posing additional identity challenges for a substantial number of adolescents in the general population; all of these special challenges involve coming to terms with difference resulting from a nonchosen identity element.
If there exists an element e in S such that ex - xe - x for all x in S then we say that S is a monoid and e is called the identity element.