Results 11 to 20 of about 8,427,358 (293)
Semigroup Structures and Commutative Ideals of BCK-Algebras Based on Crossing Cubic Set Structures
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]
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
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Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
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
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
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
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The Mazur–Ulam property for commutative von Neumann algebras [PDF]
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
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
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]
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
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