Editors: G. Auchmuty (Houston), D. Bao (San Francisco,
SFSU), D. Blecher (Houston), Bernhard G. Bodmann, H. Brezis (Paris and Rutgers),
B. Dacorogna (Lausanne), K. Davidson (Waterloo), M. Dugas (Baylor), M.
Gehrke (LIAFA, Paris7), C. Hagopian (Sacramento), R. M. Hardt (Rice), Y. Hattori
(Matsue, Shimane), W. B. Johnson (College Station), M. Rojas (College Station),
Min Ru (Houston), S.W. Semmes (Rice)
Managing Editor: K. Kaiser (Houston)
Houston Journal of Mathematics
Fusacchia, Gabriele, Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, 35121 Padova, Italy (firstname.lastname@example.org).
Strong semistar Noetherian domains, pp. 1-20.
ABSTRACT. We study the class of semistar Noetherian domains, characterized by having the Ascending Chain Condition on quasi semistar ideals, in the particular case of a stable semistar operation. In analogy with the Strong Mori case, we call these domains Strong semistar Noetherian, and provide many different characterizations for them, all involving local Noetherianity at quasi semistar prime ideals; this condition alone being too weak, we examine which further properties must be required from the set of quasi semistar prime ideals. This brings our attention on primary decompositions of ideals, associated prime ideals and topological Noetherianity on special subsets of the spectrum. In particular, we use the concept of Delta-Noetherian domain, which proves to be useful in describing Strong semistar Noetherian domains when no assumption of finite character conditions is made.
Ischi, Boris, Collège de Candolle, 5 rue d'Italie, 1204 Geneva, Switzerland
(email@example.com), and Seal, Gavin J., Ecole Polytechnique Fédérale de Lausanne, Switzerland
The Chu construction for complete atomistic coatomistic lattices, pp. 21-49.
ABSTRACT. The Chu construction is used to define a *-autonomous structure on a category of complete atomistic coatomistic lattices. This construction leads to a new tensor product that is compared with a certain number of other existing tensor products.
Fieldsteel, Nathan, UIUC, Urbana, IL 61801
(firstname.lastname@example.org), Lindberg, Tova, University of
Arizona, Tucson, AZ 85719
(email@example.com), London, Tyler
(firstname.lastname@example.org), Tran, Holden
and Xu, Haokun, UCLA, Los Angeles, CA
Classification of groups with strong symmetric genus up to twenty-five, pp. 51-60.
ABSTRACT.The strong symmetric genus of a finite group is the minimum genus of a compact Riemann surface on which the group acts as a group of automorphisms preserving orientation. A characterization of the infinite number of groups with strong symmetric genus zero and one is well-known and the problem is finite for each strong symmetric genus greater than or equal to two. May and Zimmerman have published papers detailing the classification of all groups with strong symmetric genus two through four. Using the computer algebra system GAP, we extend these classifications to all groups of strong symmetric genus up to twenty-five. This paper outlines the approach used for the extension.
Cheng University, Chia-Yi 621, Taiwan (email@example.com),
Lee, Pei-Feng, National Chung Cheng University, Chia-Yi 621,
and Wang, Hsin-Ju, National Chung Cheng University, Chia-Yi
621, Taiwan (firstname.lastname@example.org)
On the line graphs associated to the zero-divisor graphs of commutative rings, pp. 61-72.
ABSTRACT. Let R be a commutative ring with identity and let Γ(R) be its zero-divisor graph. In this paper, we study various graphical properties of the line graph associated to Γ(R), such as its diameter, girth, and the Eulerian property, and make some classifications of commutative rings (up to isomorphism) using these invariants.
Zhang, Jing, Department of Mathematics and Statistics, State University of New York at Albany, Albany, NY 12222
Singularity of a holomorphic map, pp. 111-125.
ABSTRACT. Let f be a holomorphic map between two complex manifolds M and N. We will study the singularities of f, specially if f is defined by the linear system of a holomorphic line bundle. We will also investigate the relationships among Milnor number, singularity of the map and the global smooth sections of the line bundle. .
Li, Department of
University, Xiamen, Fujian, 361005,China (email@example.com).
Hypersurfaces of Minkowski space with constant mean curvature, pp. 137-145.
ABSTRACT. Let M be a compact hypersurface of Minkowski space with parallel unit normal vector and constant mean curvature. In this paper, we prove that M is either an Euclidean sphere or a locally Minkowski space if the norm square of the second fundamental form of M satisfies a pinching condition.
Gabriela P. Ovando, CONICET and Dept. de Mate., ECEN - FCEIA,
Universidad Nacional de Rosario, Pellegrini 250, 2000 Rosario, Argentina
Naturally reductive pseudo-Riemannian 2-step nilpotent Lie groups , pp. 147-167.
ABSTRACT.This paper deals with naturally reductive pseudo-Riemannian 2-step nilpotent Lie groups for which the metric is invariant under a left action. The case of nondegenerate center is characterized as follows. The simply connected Lie group can be constructed starting from a real representation of a certain Lie algebra which carries an ad-invariant metric. Also a homogeneous structure is given and applications are shown.
Moslehian, Mohammad Sal,
Ferdowsi University of Mashhad, Mashhad 91775,
Matrix Hermite-Hadamard type inequalities, pp. 177-189.
ABSTRACT. We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We also present some applications. Finally we obtain an Hermite-Hadamard inequality for operator convex functions, positive linear maps and operators acting on Hilbert spaces.
Armengol Gasull, Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona,
Spain (firstname.lastname@example.org) and Yulin Zhao, Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275,
People's Republic of China (email@example.com).
On a family of polynomial differential equations having at most three limit cycles, pp. 191-203.
ABSTRACT. We prove the existence of at most three limit cycles for a family of planar polynomial differential equations. Moreover we show that this upper bound is sharp. The key point in our approach is that the differential equations of this family can be transformed into Abel differential equations.
Faculty of Mathematics and Physics,
Department of Mathematical Analysis,
186 75 Praha 8,
On singular Moser-Trudinger inequality for embedding into exponential and multiple exponential spaces. , pp. 205-230.
ABSTRACT. We give the Moser-Trudinger inequality with singular weights for the Orlicz-Sobolev spaces embedded into exponential and multiple exponential Orlicz spaces. The Concentration-Compactness Alternative for the singular Moser-Trudinger inequality is established to.
Correa, Alvaro, Department of Mathematics, University of Puerto Rico-Bayamon Campus, Bayamon, PR 00959, USA (firstname.lastname@example.org),
and Li, Yi Department of Mathematics, Wright State University, Dayton,
Ohio 45435, USA (email@example.com).
Bifurcation theory for a class of second order differential equations, pp. 231-245.
ABSTRACT. In this paper, we consider multiple positive solutions of a nonlinear two points boundary value problem depending on a parameter. Every solution is uniquely identified by its maximum value. We study how the number of solutions changes when the parameter varies and in addition we will narrow regions of bifurcation points.
S. Garcia-Ferreira, A. Garcia-Maynez, and M. Hrusak, Instituto de Matematicas,
Universidad Nacional Autonoma de Mexico, Campus Morelia, Apartado Postal 61-3, Xangari, 58089, Morelia, Michoacan, Mexico
(firstname.lastname@example.org) (email@example.com) , (firstname.lastname@example.org)
Spaces in which every dense subset is Baire , pp. 247-263.
ABSTRACT. We deal with several types of spaces in which every dense subspace is Baire (D-Baire spaces). Baire almost P-spaces and open-hereditarily irresolvable Baire spaces are examples of D- spaces. We give a characterization of D-Baire spaces and characterize a particular class of them. We give an example of a D-Baire space whose square is not Baire. .
Boero, Ana C., Universidade de São Paulo, São Paulo (SP), Brazil(email@example.com), (firstname.lastname@example.org) and Tomita, Artur H., Universidade de São Paulo, São Paulo (SP), Brazil (email@example.com).