COMMUNICATIONS IN ALGEBRA Volume 27, Number 9,1999
CONTENTS
Unique Addition Modules . . . 4103 B. van der Merwe
Actions of Multiplier Hopf A l g e b r a s . . . 4117 B. Drabant, A. Van Daele, and Y. Zhang
On the Schur Multiplier o f / ? - G r o u p s . . . 4173 G. Ellis
Compatible Orders on the Bicyclic Semigroup . . . 4179 D. B. McAlister
Related Comparability over Exchange R i n g s . . . 4209 H. Chen
On the Normalizer Property for Integral Group R i n g s . . . 4217 Y. Li, S. K. Sehgal, and M. M. Parmenter
Torsion in Class Groups of Modules over Certain One-Dimensional
R i n g s . . . 4225 C. J. Pappacena
On C*-Quasiregular S e m i g r o u p s . . . 4251 K. P. Shum, X. M. Ren, and Y. Q. Guo
On Regular Semigroups with Orthodox Transversals... 4275 J. Chen
Some Remarks on Lie Bialgebra Structures on Simple Complex
Lie Algebras . . . 4289 A. Stolin
On a Problem of 0 - L i m i t s . . . 4303 A. Laradji
Actions of the Dipper-Donkin Quantization GL^ on the Clifford
Algebra C ( l , 3 ) . . . 4307 S. Rodriguez-Romo
A Generalization of Curve Genus for Ample Vector Bundles. I... 4327 H. Ishihara
vii
viii CONTENTS Derived Dynkin E x t e n s i o n s . . . 4337 P. Draxler and A. Krause
Remarks on the Length of Conjugacy Classes of Finite Groups... 4347 J. Cossey and Y. Wang
Level Two Vertex Representations of G^ . . . 4355 N. Jing and C. M. Lyerty
Lattices of Classes of Modules . . . 4363 J. Dauns
Crossed Products for Pointed Hopf A l g e b r a s . . . 4389 R. Glinther
Skew Polynomial Rings over 2-Primal R i n g s . . . 4411 G. Marks
Inbreeding Depression in a Zygotic A l g e b r a . . . 4425 J. A. Vargas and R. F. del Castillo
Almost Maximal Priifer Domains . . . 4433 B. Olberding
Remarks on the Pluricanonical and the Adjoint Linear Series on
Projective Threefolds . . . 4459 S.Lee
Bernstein Superalgebras of Low D i m e n s i o n . . . 4477 S. Gonzalez, C. Lopez-Diaz, and C. Martinez
Projective Characters of Direct Products of Certain p-Groups... 4493 R. J. Higgs andJ. F. Humphreys
5-Semipermutability and Abnormality in Finite G r o u p s . . . 4515 Q. Zhang
The Derived Subgroup of a Group with Commutators of Bounded
Order Can Be Non-periodic . . . 4525 G. S. Deryabina and P. A. Kozhevnikov
Prime Ideals in Serial Rings . . . 4531 F. Guerriero and B. J. Muller
Dominions in Finitely Generated Nilpotent G r o u p s . . . 4545 A. Magidin
A General Construction of Ockham Algebras . . . 4561 H. J. Silva
CONTENTS ix Internal Characterizations of Non-prime Dedekind O r d e r s . . . 4569 R. Lissaman
Code Vertex Operator Algebras Under Coordinates Change . . . 4587 C. H. Lam
Upper Bounds for the Betti Numbers of Graded Ideals of a Given
Length in the Exterior Algebra . . . 4607 M. Crupi and R. Utano
COMMUNICATIONS IN ALGEBRA Volume 27, Number 10,1999
CONTENTS
Indecomposables in the Composition Algebra of the Kronecker
A l g e b r a . . . 4633 P. Zhang
On Subfields of Radical E x t e n s i o n s . . . 4641 F. Barrera Mora
Presentation of Orthogonal Groups over a F i e l d . . . 4651 H. You and Y. Chen
Pliicker Formula and the Equisingularity Set of a Linear System . . . 4661 J. Garcia
The Number of Generators for an Ideal and Its Dual in a
Numerical S e m i g r o u p . . . 4673 K. Herzinger
The Automorphism Group of a Graph Product of G r o u p s . . . 4691 M. R. Pettet
Irreducible Modules of Quantized Enveloping Algebras at Roots
of 1. I I . . . 4709 N.Xi
Projective Dimension of the Universal Modules for the Product of
a Hypersurface and Affine T-Space ... 4737 N. Cimen and A. Erdogan
Dual-Bimodules and AB5* Condition... 4743 7. Kurata and K. Hashimoto
Algebraic Aspects of Zariski's Equisingularity in Codimension 1 . . . 4753 A. Gran/a and M. C. Martinez
A Generalization of Hopf Crossed Products... 4779 P. Schauenburg
(n-4)-Filiform Lie A l g e b r a s . . . 4803 J. M. Cabezas andJ. R. Gomez
vii
viii CONTENTS Pointed Hopf Algebras with Large Coradical . . . 4821 S. Dascalescu
Higher Order Dual Varieties of Projective Surfaces . . . 4827 A. Lanteri and R. Mallavibarrena
Power Automorphisms of Finite p-Groups . . . 4853 M. Morigi
Frobenius Functors: A p p l i c a t i o n s . . . 4879 F. Castano Iglesias, J. Gomez Torrecillas, and C. Nastasescu
On the Lie and Associative Codimensions G r o w t h . . . 4901 Y. Bahturin, S. Mishchenko, and A. Regev
Minimal Identities of Algebras of Rank 3 . . . 4909 0. F. Giuliani and L. A. Peresi
On Coquasitriangular Bialgebras . . . 4919 K. Schmiidgen
Quasitriangular Structures for Some Pointed Hopf Algebras of
Dimension 2" . . . 4929 F. Panaite and F. Van Oystaeyen
Caracterisation de Certaines Classes d'Anneaux par des
Proprietes des Endomorphismes de Leurs M o d u l e s . . . 4943 A. Haily andE. A. Kaidi
Remarks on Maximal Ideals of Torus-Extensions... 4953 S. OdaandJ. Sato
Complete Noetherian Serial Rings Have a Self-Duality... 4961 A. Rosenthal
Homological Finiteness Conditions for Pro-p Groups . . . 4969 J. D. King
Undecidable Existential Theories of Polynomial Rings and
Function F i e l d s . . . 4993 T. Pheidas and K. Zahidi
A Class of Noncommutative and Noncocommutative Hopf
Algebras: The Quantum V e r s i o n . . . 5011 H.-X. Chen
Cohomology of Lie Algebras in the Tensor Category of Linear
M a p s . . . 5033 R. Kurdiani
CONTENTS ix On a Class of Finite R i n g s . . . 5049 C. J. Chikunji
Orderings of Higher Level on Noetherian R i n g s . . . 5083 J. CimpriC
Twisted Tensor Product Subgroups of Finite Classical Groups . . . 5097 M. Schqffer
