COMMUNICATIONS IN ALGEBRA
Volume 29, Number 1,2001
CONTENTS
Orders in Rings with I n v o l u t i o n . . . 1 M. S. Molina
The Left Cells of the Affine Weyl Group of Type 65 . . . 11 C. Chen
Double Bicrossproducts in Braided Tensor Categories . . . 31 S. Zhang and H.-X. Chen
On the Brauer Group of a Cocommutative Coalgebra . . . 67 J. Cuadra, J. R. Garcfa Rows, B. Torrecillas, and F. Van Oystaeyen
The Brauer Homomorphism and the Minimal Basis for
Centers of Iwahori-Hecke Algebras of Type A . . . 85 A. Francis
Semigroups of Operators Associated with the Kernel and Trace
of Congruences on E-Unitary Completely Regular Semigroups . . . 99 Y. Luo and L. Wang
On the Interrelation Between Radical Theories for Semirings
and Rings . . . 109 U. Hebisch and H. J. Weinert
The Lattice Structure of Hereditary Pretorsion Classes . . . 131 F. Raggi, J. R. Monies, and R. Wisbauer
Self-Intersection of the Canonical Bundle of a Projective
Variety . . . 141 V Di Gennaro
Regular Rings with Finite Stable Range . . . 157 H. Chen
On the Complementarity of Two Quasi-tilting T r i p l e s . . . 167 A. Tonolo
Sur Une Classe d'Algebres de Lie de Dimension Infinie . . . 177 K. Khakimdjanova and Y. Khakimdjanov
Higher Product Levels of Noncommutative R i n g s . . . 193
J. Cimpric
vi CONTENTS Irreducible Characters for Algebraic Groups in
Characteristic Three . . . 201 J. Ye and Z. Zhou
Freudenthal-Type Multiplicity Formulas for Generalized
Kac-Moody Superalgebras . . . 225 J. K. Koo and Y.T.Oh
Noetherian Generalized Power Series Rings and M o d u l e s . . . 245 K. Varadarajan
A Criterion for Coils . . . 253 B.Zhu
Direct Products of Modules and the Pure Semisimplicity
Conjecture . . . 271 B. Huisgen-Zimmermann and F. Okoh
Polynomial Growth of the *-Codimensions and Young
Diagrams . . . 277 A. Giambruno and S. Mishchenko
Duality of Osculating Developables of Projective C u r v e s . . . 285 A. Hefez and N. Kakuta
Properties of 3-Codimensional Gorenstein Schemes . . . 303 A. Ragusa and G. Zappala
On Polynomial Automorphism Identity Sets and Identity
Polynomials . . . 319 M. Wang and Z. Liu
Normal Hilbert Functions of One-Dimensional Local Rings . . . 333 V. Barucci, M. D'Anna, and R. Froberg
The Group of Hopf-Galois Extensions with Central Invariants . . . 343 J. N. Alonso Alvarez, J. M. Fernanda Vilaboa, and
R. Gonzalez Rodnguez
Quadratic Jordan Superalgebras . . . 375 D. King
Blowing Up Projectively Normal Space Curves and Very
Ample Divisors . . . 403 E. Ballico
Matrix Generators for the Ree Groups ^G^(q) . . . 407 G. Kemper, F. Liibeck, and K. Magaard
CONTENTS vii FP-Rings . . . 415 W. K. Nicholson andM. F. Yousif
On Lie Algebras Whose Nilradical is (Ti-^)-Filiform . . . 427 J. M. A. Bermudez and 0. R. Campoamor-Stursberg
A Division Theorem for the Pseudovariety Generated by Semigroups of Orientation Preserving Transformations on a
Finite Chain . . . 451 V. H. Femandes
On the Computation of Trace Forms of Algebras with
I n v o l u t i o n . . . 457 G. Berhuy
Characterization of the Groups PSLs(2), PSL<,(2), and PSL^l) . . . 465 M. R. Darafsheh and A. R. Moghaddamfar
