invertible element

invertible element

[in‚vərd·ə·bəl ′el·ə·mənt]
(mathematics)
An element x of a groupoid with a unit element e for which there is an element such that x · = · x = e.
References in periodicals archive ?
Site I is present downstream of FimE gene while site II is present within invertible element.
This family consists of powers of the S-fixed central invertible element [z.
N](p) is not an invertible element, then we assume that there exist positive scalars [[lambda].
Then I contains an invertible element of R, and so I = R = [M.
14) and a topological invertible element is said to be proper (see [34], p.
Every graded connected bialgebra B is in fact a Hopf algebra [5]--this means, by definition, that the identity map id : B [right arrow] B is an invertible element in the convolution algebra L(B, B).
2]) is a homomorphism and [tau] is an invertible element in the Fourier-Stieltjes algebra of [G.
x] with x an invertible element of A denotes the algebra automorphism a [?
h(x) Consequently, the number of invertible elements in [Z.
Then there exists a subset S of invertible elements of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] such that for any x, y [member of] S, x + y is invertible in [Z.
Remark: There are many other families of the Renner monoids R with group W of invertible elements in R ([5,7,8]).