*Editors*: G. Auchmuty (Houston), H. Brezis (Paris), S. S. Chern
(Berkeley), J. Damon (Chapel Hill), K. Davidson (Waterloo), L. C. Evans
(Berkeley), R. M. Hardt (Rice), J. A. Johnson (Houston), A. Lelek (Houston), J.
Nagata (Osaka), B. H. Neumann (Canberra), G. Pisier (College Station and Paris),
R. Scott (Houston), S. W. Semmes (Rice)
*Managing Editor*: K. Kaiser (Houston)

** Bell, Howard E.** Department of Mathematics, Brock University, St.
Catharines, Ontario, Canada L2S 3A1 (hbell@spartan.ac.brocku.ca) and **Abraham
A. Klein** School of Mathematical Sciences, Sackler Faculty of Exact Sciences,
Tel Aviv University, Tel Aviv, Israel 69978 (aaklein@math.tau.ac.il)

*Ideals Contained in Subrings, *
pp.1-8.

ABSTRACT.
Lewin has proved that if S is a ring and R a subring of finite index in S , then
R contains an ideal of S which is also of finite index; and Feigelstock has
recently shown that other classes of subrings must contain ideals belonging to
the same class. We provide some extensions of these results, and apply them to
prime rings. In the final section, we investigate finiteness of rings having
only finitely many n -th powers, where n s a fixed positive integer that is
greater or equal to 2.

**Gilmer, Robert, **Department of Mathematics, Florida State University,
Tallahassee, FL 32306-4510 (gilmer@math.fsu.edu) and **Heinzer, William,**
Department of Mathematics, Purdue University, W. Lafayette, IN 47907-1395
(heinzer@math.purdue.edu).

*Prime Ideals of Finite Height in Polynomials Rings,* pp. 9-20.

ABSTRACT.
We investigate the structure of prime ideals of finite height in polynomial
extension rings of a commutative unitary ring R . We consider the question of
finite generation of such prime ideals. The valuative dimension of prime ideals
of R plays an important role in our considerations. If X is an infinite set of
indeterminates over R , we prove that every prime ideal of R[X] of finite height
is finitely generated if and only if each P in Spec(R) of finite valuative
dimension is finitely generated and for each such P every finitely generated
extension domain of R/P is finitely presented. We prove that an integrally
closed domain D with the property that every prime ideal of finite height of
D[X] is finitely generated is a Pr\"ufer v-multiplication domain, and that if D
also satisfies d.c.c. on prime ideals, then D is a Krull domain in which each
height-one prime ideal is finitely generated.

** Charatonik J.J., Charatonik W. J. , Miklos, S. ,** Mathematical Institute,
University of Wroclaw pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (J. J.
Charatonik: jjc@hera.math.uni.wroc.pl; W. J. Charatonik:
wjcharat@hera.math.uni.wroc.pl; S. Miklos: miklos@hera.math.uni.wroc.pl) and **
Spyrou, P. ** Department of Mathematics, University of Athens,
Panepistemiopolis, Athens 157 84, Greece, (pspirou@atlas.uoa.ariadne-t.gr).

*On Open mappings of Locally Connected Continua onto Arcs,* pp. 21-44.

ABSTRACT.
Several structural characterizations of locally connected continua that admit an
open mapping onto an arc are obtained.

**Nikiel, J.,**American University of Beirut, Beirut, Lebanon
(nikiel@layla.aub.ac.lb), **Purisch, S.,** Barry University, Miami
Shores, FL 33161-6695 (purisch@buvax.barry.edu) **Treybig, L.B.,**
Texas A&M University, College Station, TX 77843-3368 (treybig@math.tamu.edu).

*Separable zero-dimensional spaces which are continuous images of ordered
compacta,* pp. 45-56.

ABSTRACT.
A structure theorem is proved about separable zero-dimensional spaces which are
continuous images of ordered compacta and it is shown that not all spaces in
this class are orderable themselves.

**Fu, Joseph H.G. ,** University of Georgia Mathematics Department Athens,
GA 30602 (fu@math.uga.edu).

*On the Total Curvature of Parallel Families of Convex Sets in 3-dimensional
Riemannian Manifolds with Nonnegative Sectional Curvature,
* pp. 57-64.

** Wu, Hongyou, ** Department of Mathematics, Northern Illinois
University, DeKalb, Il 60115, USA (wu@math.niu.edu).

*Foliations on Constant Curvature Surfaces Foliations on Constant Curvature
Surfaces and Nonlinear Partial Differential Equations, * pp. 65-84

**Coman, D., **University of Notre Dame, Notre Dame IN
46556-5683 (Dan.F.Coman.2@nd.edu) and **Dabija, M., **
University of Michigan, Ann Arbor MI 48109-1109 (mardab@math.lsa.umich.edu).

*On the dynamics of some diffeomorphisms of C ^{2} near parabolic fixed
points,* pp. 85-96.

ABSTRACT. In this paper we consider diffeomorphisms of C

**Adrian Ionesco, **Department of Mathematics and Computer Science, Texas
Lutheran University, Seguin, TX 78155.

*A Functional Calculus for Pairs of Commuting Polynomially Bounded Operators*,
pp. 97-104.

ABSTRACT. A functional calculus valid for the class
of absolutely continuous pairs of commuting polynomially bounded operators is
defined.

** Androulakis, George,** University of Missouri, ** Cazacu, Constantin
D.,** University of Missouri, and ** Kalton, Nigel J.,** University of
Missouri, Columbia, MO 65211 (
nigel@math.missouri.edu ).

* Twisted Sums, Fenchel-Orlicz Spaces and Property (M) ,* pp.
105-126.

ABSTRACT. We study certain twisted sums of Orlicz sequence
spaces with non-trivial type with themselves which can be viewed as
Fenchel-Orlicz spaces over the real plane. We then show that a large class of
Fenchel-Orlicz spaces over finite dimensional spaces can be renormed to have
property (M). In particular this gives a new construction of certain twisted
Hilbert spaces and shows they have property (M), after an appropriate renorming.

**Fugarolas, M. A. ,** Universidad de Santiago de Compostela, Facultad de
Matematicas, Departamento de Analisis matematico, Campus Universitario Sur,
15706-Santiago de Compostela, Spain, (mafuga@zmat.usc.es).

*Absolutely Summing Operators On Besov Spaces, * pp. 127-136.

ABSTRACT. Let I_{n} be the identity operator on
an n-dimensional Banach space E_{n}. In this paper we establish upper
estimates, in terms of the cotype of E_{n}, for some ideal norms of I_{n}.
This results are applied to study absolutely summing operators on Besov spaces.

** Van Neerven, J.M.A.M., ** Alfred P. Sloan Laboratory of Mathematics,
California Institute of Technology, CA 91125 Pasadena, U.S.A.
(J.vanNeerven@twi.tudelft.nl) and ** Straub, B. **
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803,
U.S.A. (bernd@maths.unsw.edu.au).

*On the existence and growth of mild solutions of the abstract Cauchy problem
for operators with polynomially bounded resolvent,* pp. 137-172.

** Kim, Sang Dong** Department of Mathematics, Teachers College, Kyungpook
National University, Taegu, Korea, (skim@sobolev.kyungpook.ac.kr) and ** Shin,
Byeong Chun,**
Basic Science Research Institution, Ajou University, Suwon, Korea,
(cshin@gauss.kyungpook.ac.kr).

*On the exponential decay of C ^{1} cubic Lagrange splines on
non-uniform meshes and for non-uniform data points,* pp. 173-183.

ABSTRACT. The space of C

Return to HJM