Results 31 to 40 of about 236 (40)

Commutators and Anti-Commutators of Idempotents in Rings

, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +1 more source

Cokernels of random matrices satisfy the Cohen-Lenstra heuristics [PDF]

, 2013
Let A be an n by n random matrix with iid entries taken from the p-adic integers or Z/NZ. Then under mild non-degeneracy conditions the cokernel of A has a universal probability distribution.
Maples, Kenneth
core  

Unit group of the ring of negacirculant matrices over finite commutative chain rings

Special Matrices
Circulant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
doaj   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Principal angles and approximation for quaternionic projections

, 2013
We extend Jordan's notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in M_n(A) for A the real, complex or quaternionic field (or skew field).
Loring, Terry A.
core  

Idempotents which are products of two nilpotents

Special Matrices
Over any GCD (greatest common divisor) commutative domain we show that the nontrivial 2×22\times 2 idempotent matrices are products of two nilpotent matrices. In order to find explicitly such decompositions, two procedures are described.
Călugăreanu Grigore, Pop Horia F.
doaj   +1 more source

Influence of Medications Containing Acid Salts on Serum Bicarbonate in CKD. [PDF]

Kidney360, 2020
Gardner J, Tuttle K, Raphael KL.
europepmc   +1 more source

Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. [PDF]

J Inequal Appl, 2018
Hong Y, Lim D, Qi F.
europepmc   +1 more source

Single Sustained Inflation followed by Ventilation Leads to Rapid Cardiorespiratory Recovery but Causes Cerebral Vascular Leakage in Asphyxiated Near-Term Lambs. [PDF]

PLoS One, 2016
Sobotka KS, Hooper SB, Crossley KJ, Ong T, Schmölzer GM, Barton SK, McDougall AR, Miller SL, Tolcos M, Klingenberg C, Polglase GR.   +10 more
europepmc   +1 more source

Impact of dietary Biocide clay on growth, physiological status, and histological indicators of the liver and digestive tract in Nile tilapia (Oreochromis niloticus). [PDF]

Sci Rep
El-Naby ASA, El Asely AM, Hussein MN, Khattaby AEA, Abo-Al-Ela HG.   +4 more
europepmc   +1 more source