Results 71 to 80 of about 600 (179)
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
General formulas are presented that allow for the enumeration of polytypes based on translationally equivalent layers and two equivalent arrangements of adjacent layers involving distinct possible stacking vectors, t1 and t2. The results have been applied to the polytypism among two different polysomes of the family of so‐called silico‐ferrites of ...
Michael Francesco Salzmann +3 more
wiley +1 more source
τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS
In this paper, we continue the program initiated by I. Beck's now classical paper concerning zero-divisor graphs of commutative rings. After the success of much research regarding zero-divisor graphs, many authors have turned their attention to studying divisor graphs of non-zero elements in integral domains.
openaire +4 more sources
Polymatroidal tilings and the Chow class of linked projective spaces
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley +1 more source
On the genus of graphs from commutative rings
Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertex-set , which is the set of all non-zero non-unit elements of , and two distinct vertices and in are adjacent if and only if and , where for
S. Kavitha, R. Kala
doaj +1 more source
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.
Nazar H. Shuker +2 more
doaj +1 more source
The Zero-Divisor Graphs of Variation Monogenic Semigroups
The undirected graph Γ(〖VS〗_Mn) is the zero-divisor graph of the monogenic semigroup SM with zero. The non-zero vertices xi and xj of this graph are adjacent whenever i + j > n and gcd(i,j)=1, where n is the order of Γ(〖VS〗_Mn).
Bana Jawid Al Subaiei +1 more
doaj +1 more source
Expansion of normal subsets of odd‐order elements in finite groups
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley +1 more source

