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Rocky Mountain Journal of Mathematics
VOL. 42 · NO. 2 | 2012
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 42, no. 2, (2012)
Rocky Mountain J. Math. 42 (2), (2012) Open Access
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Articles
Survey Article: An elementary illustrated introduction to simplicial sets
Greg Friedman
Rocky Mountain J. Math. 42 (2), 353-423, (2012) DOI: 10.1216/RMJ-2012-42-2-353 Open Access
KEYWORDS: Simplicial sets, simplicial homotopy, 18G30, 55U10
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On the indecomposable torsion-free abelian groups of rank two
A.M. Aghdam, A. Najafizadeh
Rocky Mountain J. Math. 42 (2), 425-438, (2012) DOI: 10.1216/RMJ-2012-42-2-425 Open Access
KEYWORDS: Square subgroup, nil modulo a subgroup, indecomposable, rank two, 20K15
No abstract available
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Equivalence of real Milnor fibrations for quasi-homogeneous singularities
R.N. Araújo dos Santos
Rocky Mountain J. Math. 42 (2), 439-449, (2012) DOI: 10.1216/RMJ-2012-42-2-439 Open Access
KEYWORDS: Real Milnor fibration, knots and links, topology of singularity, 32S55, 57Q45, 32C40, 32S60
No abstract available
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Symmetry in complex contact geometry
D.E. Blair, A. Mihai
Rocky Mountain J. Math. 42 (2), 451-465, (2012) DOI: 10.1216/RMJ-2012-42-2-451 Open Access
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Eigenvalue cluster traces for quantum graphs with equal edge lengths
Robert Carlson
Rocky Mountain J. Math. 42 (2), 467-490, (2012) DOI: 10.1216/RMJ-2012-42-2-467 Open Access
KEYWORDS: 34B45
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On the rationality of moduli spaces of pointed hyperelliptic curves
G. Casnati
Rocky Mountain J. Math. 42 (2), 491-498, (2012) DOI: 10.1216/RMJ-2012-42-2-491 Open Access
KEYWORDS: Pointed hyperelliptic curve, moduli space, rationality, 14H10, 14H45, 14E08, 14L30
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On the topology of locally $2$-connected Peano continua
M.J. Chávez, T. Fernández-Bayort, A. Quintero, M.T. Villar
Rocky Mountain J. Math. 42 (2), 499-527, (2012) DOI: 10.1216/RMJ-2012-42-2-499 Open Access
KEYWORDS: (Generalized)(Peano) continuum, local 2-connectedness, ‎embedding‎, Freudenthal end, 54F15, 54D05, 54C25, 54C10
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Notes on new (antisymmetrized) algebras
Seul Hee Choi, Ki-Bong Nam
Rocky Mountain J. Math. 42 (2), 529-544, (2012) DOI: 10.1216/RMJ-2012-42-2-529 Open Access
KEYWORDS: simple, non-associative algebra, anti-symmetrized algebra, $m$-abelian, derivation‎, 17B40, 17B56
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Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type
Mohamed Abdalla Darwish, Johnny Henderson
Rocky Mountain J. Math. 42 (2), 545-566, (2012) DOI: 10.1216/RMJ-2012-42-2-545 Open Access
KEYWORDS: Quadratic integral equation, monotonic solutions, measure of noncompactness, Urysohn-Stieltjes, Darbo's fixed point theorem, 45G10, 45M99‎, 47H09
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Typically real harmonic functions
Michael Dorff, Maria Nowak, Wojciech Szapiel
Rocky Mountain J. Math. 42 (2), 567-581, (2012) DOI: 10.1216/RMJ-2012-42-2-567 Open Access
KEYWORDS: harmonic mappings, typically real, univalence, 30C45
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On the existence of zero-sum subsequences of distinct lengths
Benjamin Girard
Rocky Mountain J. Math. 42 (2), 583-596, (2012) DOI: 10.1216/RMJ-2012-42-2-583 Open Access
KEYWORDS: 11R27, 11B75, 11P99, 20D60, 20K01, 05E99, 13F05
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An inversion formula of radon transform on the product Heisenberg group
Jianxun He, Liqun Wen
Rocky Mountain J. Math. 42 (2), 597-615, (2012) DOI: 10.1216/RMJ-2012-42-2-597 Open Access
KEYWORDS: wavelet transform, Radon transform, product Heisenberg group, 43A85, 44A15
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Globally impulsive asymptotical synchronization of delayed chaotic systems with stochastic perturbation
Danhua He, Liguang Xu
Rocky Mountain J. Math. 42 (2), 617-632, (2012) DOI: 10.1216/RMJ-2012-42-2-617 Open Access
KEYWORDS: Impulsive, Stochastic, synchronization, chaotic system, $L$-operator differential inequality, 34K50, 37C75, 94B50, 34A37
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Normal differential operators of first-order with smooth coefficients
Z.I. Ismailov, M. Erol
Rocky Mountain J. Math. 42 (2), 633-642, (2012) DOI: 10.1216/RMJ-2012-42-2-633 Open Access
KEYWORDS: differential operator, formally normal and normal operator, minimal and maximal operators, Extension‎, spectrum of an operator, 47A20, 47A10
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A different method to calculate the rank of an elliptic threefold
Remke Kloosterman
Rocky Mountain J. Math. 42 (2), 643-655, (2012) DOI: 10.1216/RMJ-2012-42-2-643 Open Access
No abstract available
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Planar real polynomial differential systems of degree $n> 3$ having a weak focus of high order
Jaume Llibre, Roland Rabanal
Rocky Mountain J. Math. 42 (2), 657-693, (2012) DOI: 10.1216/RMJ-2012-42-2-657 Open Access
KEYWORDS: center, weak focus, polynomial vector fields, 34C05, 58F14
No abstract available
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Dynamics of finite linear cellular automata over $\z_N$
F. Mendivil, D. Patterson
Rocky Mountain J. Math. 42 (2), 695-709, (2012) DOI: 10.1216/RMJ-2012-42-2-695 Open Access
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Some cases of Pál-type Birkhoff interpolation on zeros of polynomials with complex coefficients
Geeta Modi, Anil Kumar Pathak, Anita Mandloi
Rocky Mountain J. Math. 42 (2), 711-727, (2012) DOI: 10.1216/RMJ-2012-42-2-711 Open Access
KEYWORDS: Pál-type interpolation, polynomials, non-uniformly distributed nodes, lacunary interpolation, regularity, Möbius transforms, 41A05
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Generation of the symmetric field by Newton polynomials in prime characteristic
Maurizio Monge
Rocky Mountain J. Math. 42 (2), 729-749, (2012) DOI: 10.1216/RMJ-2012-42-2-729 Open Access
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Some closed-form evaluations of infinite products involving nested radicals
M.A. Nyblom
Rocky Mountain J. Math. 42 (2), 751-758, (2012) DOI: 10.1216/RMJ-2012-42-2-751 Open Access
No abstract available
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Improvement of a criterion for starlikeness
Róbert Szász, Pál Aurel Kupán, Attila Imre
Rocky Mountain J. Math. 42 (2), 759-772, (2012) DOI: 10.1216/RMJ-2012-42-2-759 Open Access
KEYWORDS: The operator of Alexander, Starlike functions, close-to-convex functions, 30C45
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