Results 11 to 20 of about 8,427,358 (293)

Semigroup Structures and Commutative Ideals of BCK-Algebras Based on Crossing Cubic Set Structures

open access: yesAxioms, 2022
First, semigroup structure is constructed by providing binary operations for the crossing cubic set structure. The concept of commutative crossing cubic ideal is introduced by applying crossing cubic set structure to commutative ideal in BCK-algebra, and
Mehmet Ali Öztürk   +2 more
doaj   +1 more source

Neutrosophic Fuzzy Matrices and Some Algebraic Operations [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this article, we study neutrosophic fuzzy set and define the subtraction and multiplication of two rectangular and square neutrosophic fuzzy matrices.
Rakhal Dasand   +2 more
doaj   +1 more source

Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

open access: yesMathematics, 2021
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras.
Seok-Zun Song   +2 more
doaj   +1 more source

Generalized commutative quaternions of the Fibonacci type

open access: yesBoletín de la Sociedad Matematica Mexicana, 2021
Quaternions are a four-dimensional hypercomplex number system discovered by Hamilton in 1843 and next intensively applied in mathematics, modern physics, computer graphics and other fields.
A. Szynal-Liana, I. Włoch
semanticscholar   +1 more source

Acyclic Complexes and Graded Algebras

open access: yesMathematics, 2023
We already know that the noncommutative N-graded Noetherian algebras resemble commutative local Noetherian rings in many respects. We also know that commutative rings have the important property that every minimal acyclic complex of finitely generated ...
Chaoyuan Zhou
doaj   +1 more source

The Mazur–Ulam property for commutative von Neumann algebras [PDF]

open access: yesLinear and multilinear algebra, 2018
Let be a σ-finite measure space. Given a Banach space X, let the symbol stand for the unit sphere of X. We prove that the space of all complex-valued measurable essentially bounded functions equipped with the essential supremum norm satisfies the Mazur ...
María Cueto-Avellaneda, A. M. Peralta
semanticscholar   +1 more source

Between the enhanced power graph and the commuting graph

open access: yesJournal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023
Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
wiley   +1 more source

Conformal Interactions Between Matter and Higher‐Spin (Super)Fields

open access: yesFortschritte der Physik, Volume 71, Issue 1, January 2023., 2023
Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko   +2 more
wiley   +1 more source

The Cohen-Macaulay property in derived commutative algebra [PDF]

open access: yes, 2019
By extending some basic results of Grothendieck and Foxby about local cohomology to commutative DG-rings, we prove new amplitude inequalities about finite DG-modules of finite injective dimension over commutative local DG-rings, complementing results of ...
Liran Shaul
semanticscholar   +1 more source

Benefits of Open Quantum Systems for Quantum Machine Learning

open access: yesAdvanced Quantum Technologies, EarlyView., 2023
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio   +2 more
wiley   +1 more source

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