Results 31 to 40 of about 2,231 (145)

Idempotents in group rings [PDF]

open access: yes, 1971
In this note we offer an elementary entirely self-contained proof of a theorem of Kaplansky on idempotents in complex group rings.
D. S. Passman
core   +1 more source

Invariant Subspaces of Idempotents on Hilbert Spaces [PDF]

open access: yes, 2022
In the setting of operators on Hilbert spaces, we prove that every quasinilpotent operator has a non−trivial closed invariant subspace if and only if every pair of idempotents with a quasinilpotent commutator has a non−trivial common closed ...
Sarkar, Jaydeb   +2 more
core   +1 more source

Semigroups of order-decreasing transformations [PDF]

open access: yes, 2012
Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
core  

Idempotent Generative Network

open access: yesCoRR, 2023
We propose a new approach for generative modeling based on training a neural network to be idempotent. An idempotent operator is one that can be applied sequentially without changing the result beyond the initial application, namely $f(f(z))=f(z)$.
Assaf Shocher   +5 more
openaire   +3 more sources

Unbounded nilpotents and idempotents [PDF]

open access: yes, 1988
This paper is concerned with unbounded operators in Hilbert space with domain containing their range and, in particular, investigates unbounded nilpotents and ...
Schôichi, Ôta
core   +1 more source

Beyond Regular Semigroups [PDF]

open access: yes, 2012
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
core  

Lifting to non-integral idempotents [PDF]

open access: yes, 2001
In the first section of this paper, we illustrate (for a finite group G and the field of fractions K of a suitable complete dvr R) how to produce all central idempotents of Z(KG) from knowledge of the images of Z(RG) modulo certain powers of J(R). In the
Robinson, Geoffrey R.   +2 more
core   +1 more source

On maps sending rank-κ idempotents to idempotents

open access: yesOperators and Matrices, 2019
Summary: We characterize bijective linear maps on complex-valued \(n\times n\) matrices such that rank-\( \kappa\) idempotents are mapped to idempotents, where \(2 \leqslant \kappa < n - 1\).
openaire   +2 more sources

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

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

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