Results 11 to 20 of about 3,969,169 (246)
Derived equivalences of upper-triangular ring spectra via lax limits [PDF]
Comptes Rendus. Mathématique, 2023 We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings to ring spectra. Our result also extends an analogous theorem of Maycock for differential graded algebras.
Jasso, Gustavo
doaj +2 more sources
Some extensions of right N-semilocal rings [PDF]
Journal of Scientific Research in ScienceIn this paper, we study the necessary and sufficient conditions for the formal triangular matrix ring, the generalized upper triangular matrix ring, the trivial Morita context, and the Morita context to be right N-semilocal, right N-semiperfect, right N ...
Samah H. El-Bishlawy +2 more
doaj +2 more sources
Lexicographic semigroupoids. [PDF]
, 1996 The natural lexicographic semigroupoids associated with Cantor product spaces indexed by countable linear orders are classified. Applications are given to the classification of triangular operator algebras which are direct limits of upper-triangular ...
Power, Stephen C.
core +4 more sources
Classification of limits of upper triangular matrix algebras. [PDF]
, 1993 Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
core +4 more sources
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
, 2010 Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core +1 more source
Jordan isomorphisms of upper triangular matrix rings
Linear Algebra and its Applications, 2007 A bijective additive map of rings \(g\colon A\to B\) is a Jordan isomorphism if for all \(x,y\in A\), \(g(xy+yx)=g(x)g(y)+g(y)g(x)\). The authors generalize results in the literature that show when such a map is a ring isomorphism or anti-isomorphism. They consider a Jordan isomorphism \(g\colon S\to B\) for \(S\) the ring of upper triangular \(n\times
Liu, Cheng-Kai, Tsai, Wan-Yu
openaire +2 more sources
Jordan homomorphisms of upper triangular matrix rings
Linear Algebra and its Applications, 2013 Let \(T_n(R)\) denote the ring of all upper triangular matrices over a ring \(R\). The main result of the paper states that a Jordan homomorphism \(\varphi\) from \(T_n(R)\) onto \(T_{n'}(R)\), where \(n,n'\geq 2\), is either a homomorphism or an antihomomorphism provided that \(R\) is a unital ring without nontrivial idempotents and \(\varphi(R\cdot 1)
Wang, Yao, Wang, Yu
openaire +1 more source
Derivations of upper triangular matrix rings
Linear Algebra and its Applications, 1993 Let \(R\) be a ring with unity. The authors consider derivations of the ring \(T_ n(R)\), the ring of \(n\times n\) upper triangular matrices over \(R\). For a derivation \(d\) of \(R\), \(\overline{d}\) denotes the derivation that is induced by \(d\) on \(T_ n(R)\).
Coelho, Sǒnia P., Polcino Milies, C.
openaire +1 more source
GENERALIZED CAYLEY GRAPH OF UPPER TRIANGULAR MATRIX RINGS
Bulletin of the Korean Mathematical Society, 2016 Summary: Let \(R\) be a commutative ring with the non-zero identity and \(n\) be a natural number. \(\Gamma ^n_R\) is a simple graph with \(R^n\setminus\{0\}\) as the vertex set and two distinct vertices \(X\) and \(Y\) in \(R^{n}\) are adjacent if and only if there exists an \(n \times n\) lower triangular matrix \(A\) over \(R\) whose entries on the ...
Afkhami, Mojgan +2 more
openaire +3 more sources
Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links [PDF]
Advanced scienceAn analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Li Q +5 more
europepmc +2 more sources