Volume 41 Issue 5 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 41 · NO. 5 | 2011

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 41, no. 5, (2011)

Rocky Mountain J. Math. 41 (5), (2011) Open Access

No abstract available

Articles

Survey Article: On weighted densities and their connection with the first digit phenomenon

Bruno Massé, Dominique Schneider

Rocky Mountain J. Math. 41 (5), 1395-1415, (2011) DOI: 10.1216/RMJ-2011-41-5-1395 Open Access

KEYWORDS: Benford's law, first digit phenomenon, mantissa, weighted density, Hierarchy, 60B10, 11B05, 11K99

No abstract available

Green's function for third-order differential equations

Yueli Chen, Jingli Ren, Stefan Siegmund

Rocky Mountain J. Math. 41 (5), 1417-1448, (2011) DOI: 10.1216/RMJ-2011-41-5-1417 Open Access

No abstract available

$S_{0,3}$ is non-ruinous

John Donnelly

Rocky Mountain J. Math. 41 (5), 1449-1455, (2011) DOI: 10.1216/RMJ-2011-41-5-1449 Open Access

No abstract available

Necessary and sufficient conditions for the oscillation of a first-order neutral differential equation of Euler form

Kaizhong Guan, Jianhua Shen

Rocky Mountain J. Math. 41 (5), 1457-1469, (2011) DOI: 10.1216/RMJ-2011-41-5-1457 Open Access

KEYWORDS: ‎oscillation‎, neutral differential equation, Euler form, variable unbounded delay, variable coefficient, 34K11, 34K40

No abstract available

Left centralizers on rings that are not semiprime

Irvin R. Hentzel, M.S. Tammam El-Sayiad

Rocky Mountain J. Math. 41 (5), 1471-1482, (2011) DOI: 10.1216/RMJ-2011-41-5-1471 Open Access

KEYWORDS: Ring, left centralizer, Baer lower radical, ‎16N40, 16N60, 16W10, 16W25

No abstract available

Nonnil-Noetherian rings and the SFT property

Sana Hizem, Ali Benhissi

Rocky Mountain J. Math. 41 (5), 1483-1500, (2011) DOI: 10.1216/RMJ-2011-41-5-1483 Open Access

KEYWORDS: 13F25, ‎16N40

No abstract available

Positive existential definability of parallelism in terms of betweenness in Archimedean ordered affine geometry

Franz Kalhoff, Victor Pambuccian

Rocky Mountain J. Math. 41 (5), 1501-1521, (2011) DOI: 10.1216/RMJ-2011-41-5-1501 Open Access

KEYWORDS: 51G05, 51F20, 51F05

No abstract available

NCF-distinguishablity by prime graph of $PGL(2,p)$ where $p$ is a prime

M. Khatami, B. Khosravi, Z. Akhlaghi

Rocky Mountain J. Math. 41 (5), 1523-1545, (2011) DOI: 10.1216/RMJ-2011-41-5-1523 Open Access

KEYWORDS: prime graph, simple group, composition factors, linear group, 20D05, 20D60, 20D08

No abstract available

Weak solutions for a sixth-order thin film equation

Changchun Liu, Yumei Tian

Rocky Mountain J. Math. 41 (5), 1547-1565, (2011) DOI: 10.1216/RMJ-2011-41-5-1547 Open Access

KEYWORDS: Sixth-order thin film equation, weak solutions, existence, uniqueness, 35D05, 35K55, 35K65

No abstract available

Value distribution of differences of meromorphic functions

Kai Liu

Rocky Mountain J. Math. 41 (5), 1567-1584, (2011) DOI: 10.1216/RMJ-2011-41-5-1567 Open Access

KEYWORDS: meromorphic functions, difference products, Finite order, exponent of convergence, 30D35, 39A05

No abstract available

Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral

Jaume Llibre, Adam Mahdi, Nicolae Vulpe

Rocky Mountain J. Math. 41 (5), 1585-1629, (2011) DOI: 10.1216/RMJ-2011-41-5-1585 Open Access

KEYWORDS: Quadratic vector fields, integrability, rational first integral, phase portraits, 34C05, 34A34, 34C14

No abstract available

Coassociated primes of local homology and local cohomology modules

Amir Mafi, Hero Saremi

Rocky Mountain J. Math. 41 (5), 1631-1638, (2011) DOI: 10.1216/RMJ-2011-41-5-1631 Open Access

KEYWORDS: Artinian module, local homology module, Local cohomology module, coassociated prime ideal

No abstract available

The first cohomology group of module extension Banach algebras

A.R. Medghalchi, H. Pourmahmood-Aghababa

Rocky Mountain J. Math. 41 (5), 1639-1651, (2011) DOI: 10.1216/RMJ-2011-41-5-1639 Open Access

KEYWORDS: 16E40, 46H25

No abstract available

Chen inequalities for submanifolds of complex space forms and Sasakian space forms endowed with semi-symmetric metric connections

Adela Mihai, Cihan Özgür

Rocky Mountain J. Math. 41 (5), 1653-1673, (2011) DOI: 10.1216/RMJ-2011-41-5-1653 Open Access

KEYWORDS: Semi-symmetric metric connection, Chen inequality, Complex space form, Sasakian space form, Ricci curvature, 53C40, 53B05, 53B15

No abstract available

Divisibly norm-preserving maps between commutative Banach algebras

Takeshi Miura, Dai Honma, Rumi Shindo

Rocky Mountain J. Math. 41 (5), 1675-1699, (2011) DOI: 10.1216/RMJ-2011-41-5-1675 Open Access

KEYWORDS: Banach Algebra, uniform algebra, norm-preserving, 46J10, 47B48, 46H40, 46J20

No abstract available

A Dirichlet analogue of the free monogenic inverse semigroup via Möbius inversion

Emil Daniel Schwab, George Stoianov

Rocky Mountain J. Math. 41 (5), 1701-1710, (2011) DOI: 10.1216/RMJ-2011-41-5-1701 Open Access

KEYWORDS: 20M18, 20M50, 05A15

No abstract available

Carleson measures and a class of generalized integration operators on the Bergman space

Anshu Sharma, Ajay K. Sharma

Rocky Mountain J. Math. 41 (5), 1711-1724, (2011) DOI: 10.1216/RMJ-2011-41-5-1711 Open Access

KEYWORDS: Generalized integration operator, Riemann-Stieltjes operator, Composition operator, Bergman space, 47B35, 46E10, ‎30H05

No abstract available

One-sided $L^p$ norm and best approximation in one-sided $L^p$ norm

C. Yang

Rocky Mountain J. Math. 41 (5), 1725-1740, (2011) DOI: 10.1216/RMJ-2011-41-5-1725 Open Access

No abstract available

Increasing limit of reproducing kernels

Hyun Jae Yoo

Rocky Mountain J. Math. 41 (5), 1741-1754, (2011) DOI: 10.1216/RMJ-2011-41-5-1741 Open Access

KEYWORDS: ‎reproducing kernel Hilbert ‎space, restriction and extension of reproducing kernels, increasing sequence of reproducing kernels, 46E22, 46C07

No abstract available

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