Results 101 to 110 of about 3,245 (221)

Characterizations and representations of the group inverse involving idempotents [PDF]

open access: yes, 2011
This paper is to present some results on the group invertibility of products and differences of idempotents. In addition, some formulae for the group inverse of sums, differences and products of idempotents are established by using some given ...
Deng, Chun Yuan, Chun Yuan Deng
core   +1 more source

A generalization of Gelfand-Mazur theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.
Sung Guen Kim
doaj   +1 more source

Unbounded symmetrizable idempotents [PDF]

open access: yes, 2012
The relationship between closed unbounded idempotents and dense decompositions of a Hilbert space is explored by extending the notion of compatibility between closed subspaces and positive bounded ...
Gonzalez, M. Celeste   +4 more
core   +1 more source

A majorization relation for a certain class of *-quivers with an orthogonality condition [PDF]

open access: yesOpuscula Mathematica, 2004
In [Kruglyak S. A., Samoĭlenko Yu. S.: On structure theorems for a family of idempotents. Ukrainskii Matematicheskii Zhurnal 50 (4), (1998) (Russian), Kruglyak S. A., Samoĭlenko Yu.
O. V. Bagro, S. A. Kruglyak
doaj  

Radicals and idempotents II

open access: yes, 2022
Continuing the study of interactions between radical theory and corners, subrings of the form eAe, where e is an idempotent of a ring A, we examine radicals characterized by the presence or absence of idempotents of various types, relative versions of ...
Barry Gardner (14737198)   +1 more
core  

C∗-algebras without idempotents [PDF]

open access: yes, 1979
The simplest statement of the main results are these: Let π be a free group on 2 generators. Let Cπ be the complex ring and L1π the ring extension to L1 sums. Then L1π contains no idempotents. Furthermore, if α ϵ Cπ, β ϵ L1π are nonzero, then αβ ≠ 0. The
Joel M Cohen, Cohen, Joel M
core   +1 more source

On Optimal and Quantum Code Construction from Cyclic Codes over FqPQ with Applications. [PDF]

open access: yesEntropy (Basel), 2023
Ali S   +5 more
europepmc   +1 more source

The decomposition of idempotents associated with inflators [PDF]

open access: yes, 1987
In a recent paper, Friedland, Hershkowitz, and Schneider introduced a new matrix product called the inflation product and a new class of matrices called inflators.
Stuart, Jeffrey L.
core   +1 more source

On Constructing Orthogonal Idempotents

open access: yesRocky Mountain Journal of Mathematics, 2007
Let \(A\) be a commutative semisimple algebra over an algebraically closed field. Let \(e_1,\dots,e_{n-1}\), where \(3\leq n\leq\dim A\), be nontrivial orthogonal idempotents in \(A\) such that \(e_1,\dots,e_{n-2}\) are minimal. It is shown that then there exist nontrivial orthogonal idempotents \(q_1,\dots,q_n\) with \(q_1,\dots,q_{n-1}\) minimal.
openaire   +3 more sources

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