Results 81 to 90 of about 1,233,365 (217)
Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs
Let R=Z♭1♭2♭3×Zq2 be a commutative ring, where ♭1,♭2,♭3 are distinct primes, and q is any prime integer. A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only
Zhi-hao Hui +3 more
doaj +1 more source
An Algebraic Study of Parametric Stokes Phenomena
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
Abstract How hard is it to program n$n$ robots to move about a long narrow aisle while making a series of r−2$r-2$ intermediate stops, provided only w$w$ of the robots can fit across the width of the aisle? In this paper, we answer this question by calculating the rth$r{\text{th}}$‐sequential topological complexity of conf(n,w)$\text{conf}(n,w)$, the ...
Nicholas Wawrykow
wiley +1 more source
On the Foundational Arguments of Sufficient Dimension Reduction
Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
wiley +1 more source
Characterizations of Three Classes of Zero-Divisor Graphs
The zero-divisor graph Γ(R) of a commutative ring R is the graph whose vertices consist of the nonzero zero-divisors of R such that distinct vertices x and y are adjacent if and only if xy = 0.
John D. LaGrange
core +1 more source
Zero Divisor Graph of Quotient Ring
Recently, a lot of research has been carried out regarding graphs built from algebraic structures, including ring structures. One important example of a graph constructed from a ring is the zero divisor graph.
Ayunda Faizatul Musyarrofah +2 more
doaj +1 more source
In a modified cerulein‐induced chronic pancreatitis (CP) mouse model, key hallmarks of CP were robustly induced in male and female C57BL/6J (BL6) and BALB/c mice, whereas cytokine responses varied partly according to strain and sex. The RORγt inhibitor GSK805 reduced Il23r expression in the BL6 strain, significantly decreased collagen I deposition and ...
Annika Thämlitz +5 more
wiley +1 more source
Properties of ideal-based zero-divisor graphs of commutative rings [PDF]
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is on a generalization of the zero-divisor graph called the ideal-based zero-divisor graph for commutative rings with nonzero identity.
Jesse Gerald Smith, Jr. +1 more
core
The N‐prime graph and the Subgroup Isomorphism Problem
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source

