Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 138, Number 6
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A combinatorial construction of high order algorithms for finding polynomial roots of known multiplicity: Yi Jin and Bahman Kalantari; Proc. Amer. Math. Soc. 138 (2010), 1897-1906; DOI: https://doi.org/10.1090/S0002-9939-10-10309-8; Published electronically: February 5, 2010; PDF

Tensoring generalized characters with the Steinberg character: G. Hiss and A. Zalesski; Proc. Amer. Math. Soc. 138 (2010), 1907-1921; DOI: https://doi.org/10.1090/S0002-9939-10-10322-0; Published electronically: February 16, 2010; PDF

On additive complements: Jin-Hui Fang and Yong-Gao Chen; Proc. Amer. Math. Soc. 138 (2010), 1923-1927; DOI: https://doi.org/10.1090/S0002-9939-10-10205-6; Published electronically: February 5, 2010; PDF

Hopf cyclic cohomology and biderivations: Abhishek Banerjee; Proc. Amer. Math. Soc. 138 (2010), 1929-1939; DOI: https://doi.org/10.1090/S0002-9939-10-10256-1; Published electronically: January 22, 2010; PDF

Filtered algebraic algebras: Alon Regev; Proc. Amer. Math. Soc. 138 (2010), 1941-1947; DOI: https://doi.org/10.1090/S0002-9939-10-10227-5; Published electronically: February 9, 2010; PDF

Two bounds for the nilpotence class of an algebra: Benjamin Allen Otto; Proc. Amer. Math. Soc. 138 (2010), 1949-1953; DOI: https://doi.org/10.1090/S0002-9939-10-10229-9; Published electronically: January 20, 2010; PDF

Borel’s conjecture and the transcendence of the Iwasawa power series: Hae-Sang Sun; Proc. Amer. Math. Soc. 138 (2010), 1955-1963; DOI: https://doi.org/10.1090/S0002-9939-10-10287-1; Published electronically: February 4, 2010; PDF

On the finiteness of associated primes of local cohomology modules: Pham Hung Quy; Proc. Amer. Math. Soc. 138 (2010), 1965-1968; DOI: https://doi.org/10.1090/S0002-9939-10-10235-4; Published electronically: February 12, 2010; PDF

2-Selmer groups of quadratic twists of elliptic curves: George Boxer and Peter Diao; Proc. Amer. Math. Soc. 138 (2010), 1969-1978; DOI: https://doi.org/10.1090/S0002-9939-10-10273-1; Published electronically: February 11, 2010; PDF

Asymptotic behaviour of standard bases: Guillaume Rond; Proc. Amer. Math. Soc. 138 (2010), 1979-1982; DOI: https://doi.org/10.1090/S0002-9939-10-10236-6; Published electronically: January 13, 2010; PDF

Monomial regular sequences: Jeffrey Mermin; Proc. Amer. Math. Soc. 138 (2010), 1983-1988; DOI: https://doi.org/10.1090/S0002-9939-10-10244-5; Published electronically: February 2, 2010; PDF

Decomposition of polynomials and approximate roots: Arnaud Bodin; Proc. Amer. Math. Soc. 138 (2010), 1989-1994; DOI: https://doi.org/10.1090/S0002-9939-10-10245-7; Published electronically: February 2, 2010; PDF

On the Chern number of an ideal: Mousumi Mandal and J. K. Verma; Proc. Amer. Math. Soc. 138 (2010), 1995-1999; DOI: https://doi.org/10.1090/S0002-9939-10-10266-4; Published electronically: February 4, 2010; PDF

An Aleksandrov type estimate for ${\alpha }$-convex functions: Cristian E. Gutiérrez and Federico Tournier; Proc. Amer. Math. Soc. 138 (2010), 2001-2014; DOI: https://doi.org/10.1090/S0002-9939-10-10255-X; Published electronically: February 16, 2010; PDF

Notes on the regularity of harmonic map systems: Tao Huang and Changyou Wang; Proc. Amer. Math. Soc. 138 (2010), 2015-2023; DOI: https://doi.org/10.1090/S0002-9939-10-10344-X; Published electronically: February 5, 2010; PDF

On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space: Baoquan Yuan; Proc. Amer. Math. Soc. 138 (2010), 2025-2036; DOI: https://doi.org/10.1090/S0002-9939-10-10232-9; Published electronically: January 27, 2010; PDF

Fibrations and Stein neighborhoods: Franc Forstnerič and Erlend Fornæss Wold; Proc. Amer. Math. Soc. 138 (2010), 2037-2042; DOI: https://doi.org/10.1090/S0002-9939-09-10223-X; Published electronically: December 8, 2009; PDF

The Szlenk index of Orlicz sequence spaces: Laetitia Borel-Mathurin; Proc. Amer. Math. Soc. 138 (2010), 2043-2050; DOI: https://doi.org/10.1090/S0002-9939-10-10213-5; Published electronically: January 7, 2010; PDF

On pluri-half-anticanonical systems of LeBrun twistor spaces: Nobuhiro Honda; Proc. Amer. Math. Soc. 138 (2010), 2051-2060; DOI: https://doi.org/10.1090/S0002-9939-09-10207-1; Published electronically: December 8, 2009; PDF

On the uniqueness of classical solutions of Cauchy problems: Erhan Bayraktar and Hao Xing; Proc. Amer. Math. Soc. 138 (2010), 2061-2064; DOI: https://doi.org/10.1090/S0002-9939-10-10306-2; Published electronically: January 27, 2010; PDF

On maximal injective subalgebras: Mingchu Gao; Proc. Amer. Math. Soc. 138 (2010), 2065-2070; DOI: https://doi.org/10.1090/S0002-9939-10-10219-6; Published electronically: January 7, 2010; PDF

A result on value distribution of L-functions: Bao Qin Li; Proc. Amer. Math. Soc. 138 (2010), 2071-2077; DOI: https://doi.org/10.1090/S0002-9939-09-10222-8; Published electronically: December 9, 2009; PDF

Quantum spaces without group structure: Piotr M. Sołtan; Proc. Amer. Math. Soc. 138 (2010), 2079-2086; DOI: https://doi.org/10.1090/S0002-9939-10-10265-2; Published electronically: February 17, 2010; PDF

Poisson-Pinsker factor and infinite measure preserving group actions: Emmanuel Roy; Proc. Amer. Math. Soc. 138 (2010), 2087-2094; DOI: https://doi.org/10.1090/S0002-9939-10-10224-X; Published electronically: February 5, 2010; PDF

A note on the bilinear Littlewood-Paley square function: Parasar Mohanty and Saurabh Shrivastava; Proc. Amer. Math. Soc. 138 (2010), 2095-2098; DOI: https://doi.org/10.1090/S0002-9939-10-10233-0; Published electronically: January 29, 2010; PDF

Convexity of Hessian integrals and Poincaré type inequalities: Zuoliang Hou; Proc. Amer. Math. Soc. 138 (2010), 2099-2105; DOI: https://doi.org/10.1090/S0002-9939-10-10262-7; Published electronically: January 27, 2010; PDF

On a sum rule for Schrödinger operators with complex potentials: Oleg Safronov; Proc. Amer. Math. Soc. 138 (2010), 2107-2112; DOI: https://doi.org/10.1090/S0002-9939-10-10248-2; Published electronically: January 22, 2010; PDF

Toeplitz-composition $C^{*}$-algebras for certain finite Blaschke products: Hiroyasu Hamada and Yasuo Watatani; Proc. Amer. Math. Soc. 138 (2010), 2113-2123; DOI: https://doi.org/10.1090/S0002-9939-10-10270-6; Published electronically: February 9, 2010; PDF

Applications of new Geronimus type identities for real orthogonal polynomials: D. S. Lubinsky; Proc. Amer. Math. Soc. 138 (2010), 2125-2134; DOI: https://doi.org/10.1090/S0002-9939-10-10276-7; Published electronically: February 3, 2010; PDF

Benedicks’ theorem for the Heisenberg group: E. K. Narayanan and P. K. Ratnakumar; Proc. Amer. Math. Soc. 138 (2010), 2135-2140; DOI: https://doi.org/10.1090/S0002-9939-10-10272-X; Published electronically: February 4, 2010; PDF

The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains: Peter D. Hislop and Peter Müller; Proc. Amer. Math. Soc. 138 (2010), 2141-2150; DOI: https://doi.org/10.1090/S0002-9939-10-10264-0; Published electronically: February 9, 2010; PDF

Diamonds: Saharon Shelah; Proc. Amer. Math. Soc. 138 (2010), 2151-2161; DOI: https://doi.org/10.1090/S0002-9939-10-10254-8; Published electronically: February 12, 2010; PDF

Defining the set of integers in expansions of the real field by a closed discrete set: Philipp Hieronymi; Proc. Amer. Math. Soc. 138 (2010), 2163-2168; DOI: https://doi.org/10.1090/S0002-9939-10-10268-8; Published electronically: February 2, 2010; PDF

Stability in distribution of mild solutions to stochastic partial differential equations: Jianhai Bao, Zhenting Hou and Chenggui Yuan; Proc. Amer. Math. Soc. 138 (2010), 2169-2180; DOI: https://doi.org/10.1090/S0002-9939-10-10230-5; Published electronically: January 14, 2010; PDF

The uniqueness of symmetrizing measure of Markov processes: Jiangang Ying and Minzhi Zhao; Proc. Amer. Math. Soc. 138 (2010), 2181-2185; DOI: https://doi.org/10.1090/S0002-9939-10-10239-1; Published electronically: January 28, 2010; PDF

Monotone bivariate Markov kernels with specified marginals: Motoya Machida and Alexander Shibakov; Proc. Amer. Math. Soc. 138 (2010), 2187-2194; DOI: https://doi.org/10.1090/S0002-9939-10-10241-X; Published electronically: February 1, 2010; PDF

Nonsingular group actions and stationary S$\alpha$S random fields: Parthanil Roy; Proc. Amer. Math. Soc. 138 (2010), 2195-2202; DOI: https://doi.org/10.1090/S0002-9939-10-10250-0; Published electronically: February 2, 2010; PDF

Pseudofree group actions on spheres: Allan L. Edmonds; Proc. Amer. Math. Soc. 138 (2010), 2203-2208; DOI: https://doi.org/10.1090/S0002-9939-10-10339-6; Published electronically: February 11, 2010; PDF

A higher-order genus invariant and knot Floer homology: Peter D. Horn; Proc. Amer. Math. Soc. 138 (2010), 2209-2215; DOI: https://doi.org/10.1090/S0002-9939-10-10263-9; Published electronically: February 9, 2010; PDF

Semiprincipal closed ideals of $\beta S$: Wilson Toko and Yuliya Zelenyuk; Proc. Amer. Math. Soc. 138 (2010), 2217-2220; DOI: https://doi.org/10.1090/S0002-9939-10-10209-3; Published electronically: January 20, 2010; PDF

Integer-valued polynomials and $K$-theory operations: M-J. Strong and Sarah Whitehouse; Proc. Amer. Math. Soc. 138 (2010), 2221-2233; DOI: https://doi.org/10.1090/S0002-9939-10-10237-8; Published electronically: January 29, 2010; PDF

Assouad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics: J. Higes; Proc. Amer. Math. Soc. 138 (2010), 2235-2244; DOI: https://doi.org/10.1090/S0002-9939-10-10240-8; Published electronically: February 12, 2010; PDF

Resolvable maps preserve complete metrizability: Su Gao and Vincent Kieftenbeld; Proc. Amer. Math. Soc. 138 (2010), 2245-2252; DOI: https://doi.org/10.1090/S0002-9939-10-10246-9; Published electronically: February 1, 2010; PDF

Jordan’s theorem for the diffeomorphism group of some manifolds: Ignasi Mundet i Riera; Proc. Amer. Math. Soc. 138 (2010), 2253-2262; DOI: https://doi.org/10.1090/S0002-9939-10-10221-4; Published electronically: February 12, 2010; PDF

Corrigendum to “Katznelson-Tzafriri type theorems for individual solutions of evolution equations”: Nguyen Van Minh; Proc. Amer. Math. Soc. 138 (2010), 2263-2263; DOI: https://doi.org/10.1090/S0002-9939-10-10349-9; Published electronically: February 3, 2010; PDF