Periodic monoids over which all flat cyclic right acts satisfy condition (P)

1997 ◽  
Vol 54 (1) ◽  
pp. 261-263
Author(s):  
Akbar Golchin ◽  
James Renshaw
Keyword(s):  
Satisfy Condition

ON RINGS R WHOSE GRAPHS Γ(R) SATISFY CONDITION (Kp)

2011 ◽  
Vol 10 (04) ◽  
pp. 665-674
Author(s):  
LI CHEN ◽  
TONGSUO WU
Keyword(s):  
Prime Number ◽  
Commutative Ring ◽  
Complete Graph ◽  
Zero Divisor ◽  
Commutative Rings ◽  
Satisfy Condition ◽  
Induced Subgraph ◽  
Zero Divisor Graph ◽  
Ring Graph ◽  
Finite Commutative Rings

Let p be a prime number. Let G = Γ(R) be a ring graph, i.e. the zero-divisor graph of a commutative ring R. For an induced subgraph H of G, let CG(H) = {z ∈ V(G) ∣N(z) = V(H)}. Assume that in the graph G there exists an induced subgraph H which is isomorphic to the complete graph Kp-1, a vertex c ∈ CG(H), and a vertex z such that d(c, z) = 3. In this paper, we characterize the finite commutative rings R whose graphs G = Γ(R) have this property (called condition (Kp)).

Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces

2008 ◽  
Vol 15 (1) ◽  
pp. 39-43
Author(s):  
Ljubomir B. Ćirić ◽  
Nebojša T. Nikolić
Keyword(s):  
Metric Space ◽  
Convex Subset ◽  
Metric Spaces ◽  
Satisfy Condition ◽  
Convex Metric Space ◽  
Convex Metric Spaces ◽  
The Family

Abstract Let (𝑋, 𝑑) be a convex metric space, 𝐶 be a closed and convex subset of 𝑋 and let 𝐵(𝐶) be the family of all nonempty bounded subsets of 𝐶. In this paper some results are obtained on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings 𝑆,𝑇 : 𝐶 → 𝐵(𝐶) which satisfy condition (2.1) below.

scholarly journals Random affine code tree fractals and Falconer–Sloan condition

2014 ◽  
Vol 36 (5) ◽  
pp. 1516-1533 ◽  
Author(s):  
ESA JÄRVENPÄÄ ◽  
MAARIT JÄRVENPÄÄ ◽  
BING LI ◽  
ÖRJAN STENFLO
Keyword(s):  
Natural Number ◽  
General Class ◽  
Satisfy Condition ◽  
The Family ◽  
General Systems ◽  
Real Anal ◽  
Probabilistic Version

We calculate the almost sure dimension for a general class of random affine code tree fractals in $\mathbb{R}^{d}$. The result is based on a probabilistic version of the Falconer–Sloan condition $C(s)$ introduced in Falconer and Sloan [Continuity of subadditive pressure for self-affine sets. Real Anal. Exchange 34 (2009), 413–427]. We verify that, in general, systems having a small number of maps do not satisfy condition $C(s)$. However, there exists a natural number $n$ such that for typical systems the family of all iterates up to level $n$ satisfies condition $C(s)$.

Flat acts that satisfy condition (P)

1999 ◽  
Vol 59 (2) ◽  
pp. 295-309 ◽  
Author(s):  
James Renshaw ◽  
Akbar Golchin
Keyword(s):  
Satisfy Condition

scholarly journals New examples of partial samples from the uniform AR(1) process and asymptotic distributions of extremes

Filomat ◽  
2015 ◽  
Vol 29 (10) ◽  
pp. 2289-2299
Author(s):  
Lenka Glavas
Keyword(s):  
Random Sequence ◽  
Limiting Distribution ◽  
Asymptotic Distributions ◽  
Satisfy Condition ◽  
Complete Sample ◽  
Marginal Distributions ◽  
Full Sample ◽  
First Order ◽  
Auto Regressive

The joint limiting distribution of maximum of the specific sub-sample and maximum of the complete sample from the first-order auto-regressive process with uniform marginal distributions is obtained in this article. There are considered several examples of partial samples, consisted of non-randomly selected terms of the full sample. It is well known that the uniform AR(1) process is strictly stationary random sequence; it doesn?t satisfy condition of weak dependency, that prohibits clustering of extremes. As a consequence of this property, some interesting conclusions about joint asymptotic distributions are reached.

On modules and rings satisfy condition (𝒞)

2016 ◽  
Vol 09 (02) ◽  
pp. 1650045
Author(s):  
Phan The Hai
Keyword(s):  
Direct Summand ◽  
Noetherian Rings ◽  
Satisfy Condition ◽  
Von Neumann ◽  
Artinian Rings ◽  
Von Neumann Regular Rings ◽  
Von Neumann Regular ◽  
Regular Rings

A right [Formula: see text]-module [Formula: see text] is called to satisfy condition [Formula: see text] if, for every [Formula: see text] and [Formula: see text], there exists [Formula: see text] such that [Formula: see text] and if [Formula: see text] is a direct summand of [Formula: see text], then [Formula: see text] is a direct summand of [Formula: see text]. In this paper, we give some properties of rings and modules to satisfy condition [Formula: see text]. Moreover, their connections with von Neumann regular rings, Hereditary rings, Noetherian rings and (semi)artinian rings are addressed.

Non-commutative Noetherian Unique Factorization Domains often have stable range one

1989 ◽  
Vol 106 (2) ◽  
pp. 229-235
Author(s):  
Martin Gilchrist
Keyword(s):  
Prime Ideal ◽  
Noetherian Ring ◽  
Principal Ideal ◽  
Commutative Rings ◽  
Stable Range ◽  
Satisfy Condition ◽  
Unique Factorization ◽  
Stable Range One ◽  
Noetherian Domain ◽  
Unique Factorization Domains

Let R be a Noetherian ring. If R is commutative then (a) every non-unit is contained in a height-1 prime ideal - this is the Krull principal ideal theorem - but (b) R can have an arbitrarily large stable range. The main aim of this paper is to show that if certain non-commutative rings satisfy condition (a) then they have stable range one. We shall prove theTheorem. Let R be a Noetherian domain which is not commutative. Suppose that every non-unit of R lies in at least one height-1 prime ideal and that every height-1 prime is completely prime. Then the stable range of R is one.

scholarly journals A note on smoothing properties of the Bergman projection

2016 ◽  
Vol 27 (11) ◽  
pp. 1650087 ◽  
Author(s):  
Sivaguru Ravisankar ◽  
Yunus E. Zeytuncu
Keyword(s):  
Holomorphic Functions ◽  
Bergman Projection ◽  
Bounded Domains ◽  
Satisfy Condition ◽  
Reinhardt Domains ◽  
Smoothing Property

Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on smoothly bounded domains that satisfy condition R. We show that a further smoothing property holds on a family of Reinhardt domains; namely, the Bergman projection of conjugate holomorphic functions is holomorphic past the boundary.

Countable models of multidimensional ℵ0-stable theories

1983 ◽  
Vol 48 (2) ◽  
pp. 377-383 ◽  
Author(s):  
Elisabeth Bouscaren
Keyword(s):  
Satisfy Condition ◽  
Strongly Regular ◽  
Countable Theory ◽  
Additional Assumptions ◽  
Countable Models

The notations and the definitions used here are identical to those in [B.L.]. We also assume that the reader is familiar with the properties of the Rudin-Keisler order on types [L.].Let T denote an ℵ0-stable countable theory. The main result in [B.L.] is: All countable models of T are almost homogeneous if and only if T satisfies(*) For all models M of T and all ā ∈ M, if p ∈ S1(ā) is strongly regular multidimensional, then Dim(p; M) ≥ ℵ0.In this paper we investigate the case of a theory T which does not satisfy condition (*) and, under certain additional assumptions, we construct nonisomorphic and non-almost-homogeneous countable models. The same type of construction has been used before to show that if T is multidimensional, then for all α ≥ 1, T has at least nonisomorphic models of cardinality ℵα [La.], [Sh.]. As a corollary of our main theorem (Theorem 6) and of the previous result in [B.L.], we prove Vaught's Conjecture (and, in fact, Martin's Strong Conjecture) for theories T with αT finite.Although we are here interested in countable models, we can also note that our construction proves that theories satisfying the assumptions in Theorem 6 have at least nonisomorphic models of cardinality ℵα.

scholarly journals On the Gauss Map of Surfaces of Revolution with Lightlike Axis in Minkowski 3-Space

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Minghao Jin ◽  
Donghe Pei ◽  
Shu Xu
Keyword(s):  
Gauss Map ◽  
Second Fundamental Form ◽  
Satisfy Condition ◽  
Real Matrix ◽  
De Sitter ◽  
Surfaces Of Revolution ◽  
3 Dimensional ◽  
The Second Fundamental Form ◽  
Dimensional Minkowski Space ◽  
Lightlike Axis

By studying the Gauss mapGand Laplace operatorΔhof the second fundamental formh, we will classify surfaces of revolution with a lightlike axis in 3-dimensional Minkowski space and also obtain the surface of Enneper of the 2nd kind, the surface of Enneper of the 3rd kind, the de Sitter pseudosphere, and the hyperbolic pseudosphere that satisfy conditionΔhG=ΛG, Λbeing a3×3real matrix.

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