Results 241 to 250 of about 379,307 (280)

Maximum Matrix Rings

Journal of the London Mathematical Society, 1943
Not ...
openaire   +1 more source

Motions of Matrix Rings

Canadian Journal of Mathematics, 1964
Metric spaces in which the distances are not real numbers have been studied by several people (2, 3, 4, 7, 9). Any ringRtogether with a mapping,X—>ϕ(X), ofRinto a lattice A with 0 and 1 satisfyingis called a "lattice-valued ring," where the operations union, ∪, and intersection, ∩, are the usual lattice operations.
openaire   +2 more sources

Ring Closure Matrix

Current Organic Chemistry, 2015
We consider generalization of the terminal matrix of Zaretsky, in which only distances are listed between terminal vertices of acyclic graphs, to a condensed matrix for cyclic and polycyclic systems. Some 50 years ago Zaretsky has proved that the distance matrix between terminal vertices of acyclic graphs ...
Randić, Milan, Novič, Marjana, Plavšić, Dejan   +2 more
openaire   +1 more source

Recognition of matrix rings II

Israel Journal of Mathematics, 1996
Let \(R\) be a ring with identity element 1. Various criteria are known for \(R\) to be a full \(n\) by \(n\) matrix ring, and the present paper follows on part I by \textit{J. C. Robson} [Commun. Algebra 19, No. 7, 2113-2124 (1991; Zbl 0731.16018)] who showed, for instance, that \(R\) is an \(n\) by \(n\) matrix ring if and only if \(R\) has elements \
Agnarsson, G., Amitsur, S. A., Robson, J. C.   +2 more
openaire   +2 more sources

Representation of tiled matrix rings as full matrix rings

Mathematical Proceedings of the Cambridge Philosophical Society, 1989
It can be very difficult to determine whether or not certain rings are really full matrix rings. For example, let p be an odd prime, let H be the ring of quaternions over the integers localized at p, and setThen T is not presented as a full matrix ring, but there is a subring W of H such that T ≅ M2(W). On the other hand, if we take H to be the ring of
openaire   +1 more source

Learning Matrix Functions over Rings

Algorithmica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bshouty, N. H., Tamon, C., Wilson, D. K.
openaire   +2 more sources

INVERTIBLE COMMUTATORS IN MATRIX RINGS

Journal of Algebra and Its Applications, 2011
In a matrix ring R = 𝕄2(S) where S is a commutative ring, we study equations of the form XY - YX = U ∈ GL 2(S), focusing on matrices in R that can appear as X or as XY in such equations. These are the completable and the reflectable matrices in R.
Khurana, Dinesh, Lam, T. Y.
openaire   +2 more sources

Formal Matrix Rings

2017
In this chapter, we define formal matrix rings of order 2 and formal matrix rings of arbitrary order n. Their main properties are considered and examples of such rings are given. We indicate the relationship between formal matrix rings, endomorphism rings of modules, and systems of orthogonal idempotents of rings.
Piotr Krylov, Askar Tuganbaev
openaire   +1 more source

On Skew Triangular Matrix Rings

Algebra Colloquium, 2015
Let R be a ring with an endomorphism σ. We show that the clean property and various Armendariz-type properties of R are inherited by the skew matrix rings S(R,n,σ) and T(R,n,σ). They allow the construction of rings with a non-zero nilpotent ideal of arbitrary index of nilpotency which inherit various interesting properties of rings.
Habibi, M., Moussavi, A., Alhevaz, A.
openaire   +2 more sources

Ideals of Some Matrix Rings

Acta Applicandae Mathematicae, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source