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Rocky Mountain Journal of Mathematics
VOL. 40 · NO. 5 | 2010
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 40, no. 5, (2010)
Rocky Mountain J. Math. 40 (5), (2010) Open Access
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Articles
On irreducible polynomials over $\bf Q$ which are reducible over ${bf F}_p$ for all $p$
Mohamed Ayad
Rocky Mountain J. Math. 40 (5), 1377-1389, (2010) DOI: 10.1216/RMJ-2010-40-5-1377 Open Access
KEYWORDS: irreducible polynomial, inert prime, Hilbert's irreducibility theorem, linearly disjoint extensions, linear relations connecting roots of polynomials
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Four-dimensional Lie algebras with a para-hypercomplex structure
Novica Blažić, Srdjan Vukmirović
Rocky Mountain J. Math. 40 (5), 1391-1439, (2010) DOI: 10.1216/RMJ-2010-40-5-1391 Open Access
KEYWORDS: Para-hypercomplex (complex product, hypersympectic) structure, hyper-complex structure, neutral signature, self-dual metric, 53C50, 53C56, 32M10, 53C26, 53C55
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The Sherrington Kirkpatrick model with ferromagnetic interaction
Agnese Cadel, Carles Rovira
Rocky Mountain J. Math. 40 (5), 1441-1471, (2010) DOI: 10.1216/RMJ-2010-40-5-1441 Open Access
KEYWORDS: Spin glasses, Sherrington-Kirkpatrick model, Ferromagnetic interaction, 60G15, 82B44, 82D30
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Shared sets and normal families of meromorphic functions
Jun-Fan Chen
Rocky Mountain J. Math. 40 (5), 1473-1479, (2010) DOI: 10.1216/RMJ-2010-40-5-1473 Open Access
KEYWORDS: meromorphic function, normal family, shared set, 30D45
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Classification of commutative zero-divisor semigroup graphs
Lisa Demeyer, Yunjiang Jiang, Cleland Loszewski, Erica Purdy
Rocky Mountain J. Math. 40 (5), 1481-1503, (2010) DOI: 10.1216/RMJ-2010-40-5-1481 Open Access
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Homogeneity properties with isometries and Lipschitz functions
Jan J. Dijkstra
Rocky Mountain J. Math. 40 (5), 1505-1525, (2010) DOI: 10.1216/RMJ-2010-40-5-1505 Open Access
KEYWORDS: Countable dense homogeneous, strongly locally homogeneous, isometry, bi-Lipschitz map, 54E40, 46B04
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Partially ordered groups which act on oriented order trees
Matthew Horak, Melanie Stein
Rocky Mountain J. Math. 40 (5), 1527-1578, (2010) DOI: 10.1216/RMJ-2010-40-5-1527 Open Access
KEYWORDS: Partially ordered group, 3-manifold, tree, order tree, 1-manifold, group action, 20E08, 20F60, 06F15, 20F65, 57M60
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Semidefiniteness without Hermiticity
Charles R. Johnson, Robert Reams
Rocky Mountain J. Math. 40 (5), 1579-1585, (2010) DOI: 10.1216/RMJ-2010-40-5-1579 Open Access
KEYWORDS: positive semidefinite, Hermitian part, row and column inclusion, 15A03, 15A45, 15A48, 15A57
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The geometry of filiform nilpotent Lie groups
Megan M. Kerr, Tracy L. Payne
Rocky Mountain J. Math. 40 (5), 1587-1610, (2010) DOI: 10.1216/RMJ-2010-40-5-1587 Open Access
KEYWORDS: filiform, nilmanifold, totally geodesic submanifold, 53C22, 53C30, 22E25, 22F30
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A categorical construction of ultrafilters
Daniel Litt, Zachary Abel, Scott Duke Kominers
Rocky Mountain J. Math. 40 (5), 1611-1617, (2010) DOI: 10.1216/RMJ-2010-40-5-1611 Open Access
KEYWORDS: ultrafilters, inverse limits, finite partitions
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Quasi-convex mappings of order $\alpha$ on the unit polydisk in $C^n$
Xiao-Song Liu, Ming-Sheng Liu
Rocky Mountain J. Math. 40 (5), 1619-1644, (2010) DOI: 10.1216/RMJ-2010-40-5-1619 Open Access
KEYWORDS: $k$-fold symmetric, convex function of order $\alpha$, quasiconvex mapping of type B and order $\alpha$, estimation of homogeneous expansion, 32A30, 32H02
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A note about $\{K_i(z)\}^\infty_{i=1}$ functions
Branko J. Malešević
Rocky Mountain J. Math. 40 (5), 1645-1648, (2010) DOI: 10.1216/RMJ-2010-40-5-1645 Open Access
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Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear $C*$-algebra
P.W. Ng, Efren Ruiz
Rocky Mountain J. Math. 40 (5), 1649-1665, (2010) DOI: 10.1216/RMJ-2010-40-5-1649 Open Access
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The number of Khalimsky-continuous functions on intervals
Shiva Samieinia
Rocky Mountain J. Math. 40 (5), 1667-1687, (2010) DOI: 10.1216/RMJ-2010-40-5-1667 Open Access
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Approximating Euler products and class number computation in algebraic function fields
Renate Scheidler, Andreas Stein
Rocky Mountain J. Math. 40 (5), 1689-1727, (2010) DOI: 10.1216/RMJ-2010-40-5-1689 Open Access
KEYWORDS: Algebraic function field, zeta function, Euler product, Class number, distribution, 11R58, 11Y16, 11M38, 11R65
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Some existence results for a class of fourth order elliptic equations with nonsmooth potential
Guoqing Zhang, Sanyang Liu
Rocky Mountain J. Math. 40 (5), 1729-1743, (2010) DOI: 10.1216/RMJ-2010-40-5-1729 Open Access
KEYWORDS: Existence and multiplicity results, nonsmooth functionals, asymptotically linear, Local Linking
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