Results 41 to 50 of about 249,196 (276)
Characterization of Directed Graphs Representing C*-Algebra of Complex Matrices [PDF]
E3S Web of ConferencesQuantum mechanics is a study that plays a major role in determining the biological intelligence of Artificial Intelligence (AI). Point particle systems in quantum mechanics can be explained using C*-Algebra which is called CAR-algebra. There is a special
Hidayat Wahyu, Herlinawati Elin
doaj +1 more source
Tropical algebra with high-order matrix for multiple-noise removal
Journal of Low Frequency Noise, Vibration and Active Control, 2023 The technology for multiple-noise removal has triggered skyrocketing interest in both mathematics and engineering, and the tropical algebra has laid the foundation for an abundance of noise filters.
Jing Wang
doaj +1 more source
Largest Ideals in Leavitt Path Algebras [PDF]
Mediterranean Journal of Mathematics, 2020 19 ...
Vural Cam +3 more
openaire +5 more sources
, 2013 We show that the graph construction used to prove that a gauge-invariant ideal of a graph C*-algebra is isomorphic to a graph C*-algebra, and also used to prove that a graded ideal of a Leavitt path algebra is isomorphic to a Leavitt path algebra, is ...
Ruiz, Efren, Tomforde, Mark
core +1 more source
Cohn path algebras of higher-rank graphs
, 2016 In this article, we introduce Cohn path algebras of higher-rank graphs. We prove that for a higher-rank graph $\Lambda $, there exists a higher-rank graph $T\Lambda $ such that the Cohn path algebra of $\Lambda $ is isomorphic to the Kumjian-Pask algebra
Clark, Lisa Orloff +1 more
core +1 more source
Algebras of quotients of path algebras
Journal of Algebra, 2008 Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex connects to a line point (equivalently, the Leavitt path algebra has essential socle).
openaire +3 more sources
TelecomThe intense diversity of the Next-Generation Networking environments like 6G and the forthcoming deployment of immersive applications with varied user-specific requirements transform the efficient allocation of resources into a real challenge ...
Stelios Prekas +2 more
doaj +1 more source
Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs
Results in MathematicsAbstractThe Gelfand–Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce the algebraic entropy for path algebras. For the path algebras, Leavitt path algebras and the path algebra of the extended (double) graph, we compare the Gelfand–Kirillov dimension and the entropy ...
Wolfgang Böck +5 more
openaire +4 more sources
Stratifying systems over the hereditary path algebra with quiver $\mathbb{A}_{p,q}$
, 2015 The authors have proved in [J. Algebra Appl. 14 (2015), no. 6] that the size of a stratifying system over a finite-dimensional hereditary path algebra $A$ is at most $n$, where $n$ is the number of isomorphism classes of simple $A$-modules. Moreover, if $
Cadavid, Paula Andrea +1 more
core +1 more source
Selecta MathematicaWe define a basic class of algebras which we call homotopy path algebras. We find that such algebras always admit a cellular resolution and detail the intimate relationship between these algebras, stratifications of topological spaces, and entrance/exit paths.
Favero, David, Huang, Jesse
openaire +2 more sources