Results 41 to 50 of about 22,203 (182)

Derived equivalences of upper-triangular ring spectra via lax limits

Comptes Rendus. Mathématique
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   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Images of Generalized Multilinear Polynomials on Upper Triangular Matrix Algebras

Axioms
A polynomial is called a generalized multilinear polynomial if it is a sum of some multilinear polynomials over a field. The goal of this paper is to give a description of the images of generalized multilinear polynomials on upper triangular matrix ...
Qian Chen, Yu Wang
doaj   +1 more source

Classification of limits of triangular matrix algebras [PDF]

Proceedings of the Edinburgh Mathematical Society, 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 alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings ...
Hopenwasser, A., Power, S. C.
openaire   +1 more source

Duality and Representations for New Exotic Bialgebras

, 2002
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We find two new exotic bialgebras S03 and S14 which are not deformations of the
A. Chakrabarti, Aneva B. L., Aneva B. L., Arnaudon D., D. Arnaudon, Dobrev V. K., Dobrev V. K., Faddeev L. D., Faddeev L. D., Frappat L., S. G. Mihov, V. K. Dobrev   +11 more
core   +2 more sources

Mechanoadaptation via Myosin Cytoplasmic Redistribution Protects Circulating Tumor Cells From Shear‐induced Death During Hematogenous Dissemination

Advanced Science, EarlyView.
This study investigates how CTCs survive varying shear stress during hematogenous metastasis. We uncover a self‐protection mechanism, by which non‐adherent CTCs adapt to high shearing milieu through accumulated cytoplasmic myosin‐mediated disruption of myosin‐actin binding, attenuating force transmission into chromatin to protect CTCs from shear ...
Cunyu Zhang, Qianchun Wang, Keming Li, Guanshuo Hu, Ying Xin, Kai Tang, Bing Hu, Pengyu Du, Renwei Mao, Baohua Ji, Youhua Tan   +10 more
wiley   +1 more source

Classical R-Operators and Integrable Generalizations of Thirring Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras g^σ in different gradings and associated ''triangular'' R-operators.
Taras V. Skrypnyk
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Superinvolutions on block-triangular matrix algebras

, 2020
The proof of Lemma 5.11 is ...
Dias, Laise, Diniz, Diogo, Ramos, Alex
openaire   +2 more sources