Results 81 to 90 of about 809,033 (313)

Hochschild Cohomology of Triangular Matrix Algebras

Journal of Algebra, 2000
AbstractWe study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B.
Michelena, Sandra, Platzeck, Maria Ines
openaire   +3 more sources

Linear Matrix Inequality‐based design of distributed proportional‐integral‐derivative for the output consensus tracking in heterogeneous high‐order multi‐agent systems

Asian Journal of Control, EarlyView.
Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui, Alberto Petrillo, Stefania Santini   +2 more
wiley   +1 more source

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$

Researches in Mathematics, 2023
Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$.
D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
doaj   +1 more source

Experimental studies on multi‐scale data‐driven methods within the framework of structural health monitoring

Civil Engineering Design, EarlyView.
Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer, Jan Backhaus, Ulf Bestmann, Vanessa De Arriba López, Pedro Achanccaray Diaz, Markus Gerke, Carsten Könke, Armin Lenzen, Lukas Lippold, Mehdi Maboudi, Max Moeller, Carlos Luis Paz Villegas, Paul Winkler, Volkmar Zabel   +13 more
wiley   +1 more source

Algebras of right ample semigroups

Open Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

Advances in Difference Equations, 2021
We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty.
Reza Saadati, Choonkil Park, Donal O’Regan, Sorin Nadaban   +3 more
doaj   +1 more source

Semisimple Triangular AF Algebras

Journal of Functional Analysis, 1993
AbstractWe give several necessary and sufficient conditions for a triangular AF algebra to be semisimple. In particular, a triangular AF algebra which can be written using the standard embedding infinitely often is semisimple; we also give a semisimple triangular AF algebra which does not have a presentation of this form.
openaire   +2 more sources

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Solvable Lie algebras with triangular nilradicals

, 1998
All finite-dimensional indecomposable solvable Lie algebras $L(n,f)$, having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements $f$ in $L(n,f)$ satisfies $1\leq f\leq n-1$ and the dimension of the Lie ...
Hausner M, Jacobson N, Levi E E, Lie S, Maltsev A I, Michel L, Morozov V V, Mubarakzyanov G M, Mubarakzyanov G M, Mubarakzyanov G M, Mubarakzyanov G M, Ndogmo J C, Ndogmo J C, Olver P J, P Winternitz, Patera J, Rubin J, S Tremblay, Shnider S, Winternitz P   +19 more
core   +2 more sources

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source