Results 41 to 50 of about 1,189 (299)

Lexicographic semigroupoids. [PDF]

open access: yes, 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  

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

open access: yesAdvanced 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   +7 more
wiley   +1 more source

Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices

open access: yesAxioms, 2023
This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang   +2 more
doaj   +1 more source

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

open access: yesAdvanced 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

More on Weak Amenability of Triangular Banach Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis
For two Banach algebras $A$ and $B$ and a Banach $(A,B)$-module $X$, let $\mathrm{Tri}(A,X,B)$ be the corresponding triangular Banach algebra. In this paper, among other things, we give some characterizations of $n$-weak amenability of $\mathrm{Tri}(A,X ...
Mahdieh Alikahi, Mohammad Ramezanpour
doaj   +1 more source

Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra

open access: yesMathematics, 2023
The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
doaj   +1 more source

Order preserving limits of finite-dimensional nest algebras. [PDF]

open access: yes, 2002
We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determined, in terms of order indecomposable decompositions, and they are shown ...
Alan Hopenwasser   +3 more
core  

Long‐Range Interactions in Topological Superconducting Systems: A Mini Review

open access: yesAdvanced Physics Research, EarlyView.
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley   +1 more source

Abelian mirror symmetry of N $$ \mathcal{N} $$ = (2, 2) boundary conditions

open access: yesJournal of High Energy Physics, 2021
We evaluate half-indices of N $$ \mathcal{N} $$ = (2, 2) half-BPS boundary conditions in 3d N $$ \mathcal{N} $$ = 4 supersymmetric Abelian gauge theories.
Tadashi Okazaki
doaj   +1 more source

Block Triangularization of Algebras of Matrices

open access: yesLinear Algebra and its Applications, 1980
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algebra of n × n matrices over a field F. It is shown that there is a similarity transformation reducing the algebra to a block triangular form in which, ateach pair of diagonal places, the blocks either are always equal or may be occupied by any entries from
openaire   +2 more sources

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