Results 61 to 70 of about 575,168 (177)
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source
Panel Sequential Group Estimation of Interactive Effects Models
ABSTRACT This paper proposes a novel procedure to identify latent groups in the slopes of panel data models with interactive effects. The method is straightforward to apply and relies only on closed‐form estimators when evaluating the objective function.
Ignace De Vos, Joakim Westerlund
wiley +1 more source
Classification of posets using zero-divisor graphs
Halaš and Jukl associated the zero-divisor graph G to a poset (X,≤) with zero by declaring two distinct elements x and y of X to be adjacent if and only if there is no non-zero lower bound for {x, y}.
Arsham Borumand Saeid +2 more
core +1 more source
Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings
Let 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather +3 more
doaj +1 more source
Group Action on the Set of Nonunits in Rings
Let R be a ring, G be the group of all units of R, and X=R−G∪0. In this paper, we investigate avxx∈X=oxx∈X for a ring R, where avx is the set of all vertices of the zero-divisor graph of R adjacent to x.
Eman S. Almotairi +2 more
doaj +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
THE ZERO DIVISOR IDEAL GRAPH OF THE RING ZN [PDF]
In this paper we introduce the notion of Maxideal and Minideal zero divisor graphs of the maximal and minimal ideals of the ring Zn. We defined the Maxideal and Minideal zero divisor graphs of the ring Zn for any n, to be the zero divisor graph of ...
Nazar H Shuker, Payman A Rashed
core
A characterization of singular endomorphisms of a barrelled Pták space
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled ...
Damir Franekić
doaj +1 more source
On bipartite zero-divisor graphs
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Dancheng Lu, Tongsuo Wu
openaire +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source

