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Rocky Mountain Journal of Mathematics
VOL. 41 · NO. 4 | 2011
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 41, no. 4, (2011)
Rocky Mountain J. Math. 41 (4), (2011) Open Access
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Articles
Filiform nilsolitons of dimension 8
Romina M. Arroyo
Rocky Mountain J. Math. 41 (4), 1025-1043, (2011) DOI: 10.1216/RMJ-2011-41-4-1025 Open Access
KEYWORDS: 53C25, 53C30, 22E25
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When radical of primary submodules are prime submodules
A. Azizi
Rocky Mountain J. Math. 41 (4), 1045-1058, (2011) DOI: 10.1216/RMJ-2011-41-4-1045 Open Access
KEYWORDS: Prime and primary submodule, radical of submodules, secondary representable modules, special modules, 13C99, 13C13, 13E05, 13F05, 13F15
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Odd-cycle-free facet complexes and the König property
Massimo Caboara, Sara Faridi
Rocky Mountain J. Math. 41 (4), 1059-1079, (2011) DOI: 10.1216/RMJ-2011-41-4-1059 Open Access
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Characterizing minimal ring extensions
Paul-Jean Cahen, David E. Dobbs, Thomas G. Lucas
Rocky Mountain J. Math. 41 (4), 1081-1125, (2011) DOI: 10.1216/RMJ-2011-41-4-1081 Open Access
KEYWORDS: Minimal ring extension, valuation pair, ring of finite fractions, 13B02, 13A15, 13A18, 13B30, 13B21
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Nice bases and thickness in primary abelian groups
Peter V. Danchev, Patrick W. Keef
Rocky Mountain J. Math. 41 (4), 1127-1149, (2011) DOI: 10.1216/RMJ-2011-41-4-1127 Open Access
KEYWORDS: 20K10
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Boundary preservation by analytic maps between bordered Riemann surfaces
Pisheng Ding
Rocky Mountain J. Math. 41 (4), 1151-1156, (2011) DOI: 10.1216/RMJ-2011-41-4-1151 Open Access
KEYWORDS: 30F99
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Maps preserving unitary similarity on $\B(H)$
Shuanping Du, Jinchuan Hou, Zhaofang Bai
Rocky Mountain J. Math. 41 (4), 1157-1172, (2011) DOI: 10.1216/RMJ-2011-41-4-1157 Open Access
KEYWORDS: Unitary similarity, preserver, 47B49
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Solving a family of quartic Thue inequalities using continued fractions
Andrej Dujella, Bernadin Ibrahimpašić, Borka Jadrijević
Rocky Mountain J. Math. 41 (4), 1173-1182, (2011) DOI: 10.1216/RMJ-2011-41-4-1173 Open Access
KEYWORDS: Thue equations, simultaneous Pellian equations, continued fractions, 11D59, 11A55
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Global bifurcation of nonnegative solutions for a quasilinear elliptic problem
Peng Feng
Rocky Mountain J. Math. 41 (4), 1183-1193, (2011) DOI: 10.1216/RMJ-2011-41-4-1183 Open Access
KEYWORDS: bifurcation, ‎positive‎ ‎solutions, singular elliptic equation, 34B18, 34C23, 35B05
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Isometries of Nakano space of vector valued functions
Nadia J. Gal, James E. Jamison
Rocky Mountain J. Math. 41 (4), 1195-1220, (2011) DOI: 10.1216/RMJ-2011-41-4-1195 Open Access
KEYWORDS: 46B04, 47A05, 47B38, 47B49
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On lifting of idempotents in topological algebras
Rodia I. Hadjigeorgiou
Rocky Mountain J. Math. 41 (4), 1221-1239, (2011) DOI: 10.1216/RMJ-2011-41-4-1221 Open Access
KEYWORDS: Topological algebra, metrizable topological algebra, quasi-plane algebra, algebraically spectral algebra, topologically spectral topological algebra, quasi-inverse closed topological algebra, Mallios topological algebra, $Q$ algebra, advertibly complete algebra, t-acceptable topological algebra, spectrum, Gel'fand map, Gel'fand transform algebra, contraction map, fixed point, quasisquare root, 46H05, 46H20, 46H10, 46H99, 54E35, 54E40, ‎54E50‎, 47H10
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Generalized bi-circular projections on spaces of operators and $JB^*$ triples
James Jamison
Rocky Mountain J. Math. 41 (4), 1241-1245, (2011) DOI: 10.1216/RMJ-2011-41-4-1241 Open Access
KEYWORDS: isometry, bi-circular projection, bi-contractive projection, $JB^*$ triple, 47B49, 47B37
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Factorizations and representations of binary polynomial recurrences by matrix methods
Emrah Kiliç, Pantelimon Stănică
Rocky Mountain J. Math. 41 (4), 1247-1264, (2011) DOI: 10.1216/RMJ-2011-41-4-1247 Open Access
KEYWORDS: Second order recurrences, factorization, Chebyshev polynomials, tridiagonal matrix, matrix methods, 11B37, 11C20
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Boundary decomposition of the Bergman kernel
Steven G. Krantz
Rocky Mountain J. Math. 41 (4), 1265-1272, (2011) DOI: 10.1216/RMJ-2011-41-4-1265 Open Access
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A Hamiltonian model and soliton phenomenon for a two- mode KdV equation
Chun-Te Lee, Jinn-Liang Liu
Rocky Mountain J. Math. 41 (4), 1273-1289, (2011) DOI: 10.1216/RMJ-2011-41-4-1273 Open Access
KEYWORDS: soliton, Hamiltonian system, Fourier spectral method, 35Q5, 37K05
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On the $g$-ary expansions of middle binomial coefficients and Catalan numbers
Florian Luca, Igor E. Shparlinski
Rocky Mountain J. Math. 41 (4), 1291-1301, (2011) DOI: 10.1216/RMJ-2011-41-4-1291 Open Access
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Degree $k$ linear recursions $\mod(p)$ and number fields
T. Machenry, Kieh Wong
Rocky Mountain J. Math. 41 (4), 1303-1327, (2011) DOI: 10.1216/RMJ-2011-41-4-1303 Open Access
KEYWORDS: symmetric polynomials, Schur polynomials, linear recursions, number fields
No abstract available
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Weyl groups, descent systems and Betti numbers
Lex E. Renner
Rocky Mountain J. Math. 41 (4), 1329-1359, (2011) DOI: 10.1216/RMJ-2011-41-4-1329 Open Access
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Delocalized Betti numbers and Morse type inequalities
Mostafa Esfahani Zadeh
Rocky Mountain J. Math. 41 (4), 1361-1374, (2011) DOI: 10.1216/RMJ-2011-41-4-1361 Open Access
KEYWORDS: Novikov-Shubin inequalities, delocalized Betti numbers, Witten's Laplacian, 58J35, 58E05
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Some $q$-series identities related to the $q$-triplicate inverse
Zhizheng Zhang, Na Li
Rocky Mountain J. Math. 41 (4), 1375-1393, (2011) DOI: 10.1216/RMJ-2011-41-4-1375 Open Access
KEYWORDS: Basic hypergeometric series, $(f,g)$-inversion series relations, transformation formula, $q$-triplicate inverse, 33D15, 33D40, 05A19
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