Kirn Notes on the Constructions of Maximal Commutative Subalgebra of M k

COMMUNICATIONS IN ALGEBRA Volume 29, Number 10, 2001

CONTENTS

On the Irreducibility of the Family of Algebraic Curves in

Complex Projective Space P . . . 4321 S. Kirn

Notes on the Constructions of Maximal Commutative

Subalgebra of M k ) . . . 4333 Y. Song

Unique Factorization of Monic P o l y n o m i a l s . . . 4341 S. Me Adam

Stacked Bases for Countable Homogeneous Completely

Decomposable G r o u p s . . . 4345 M.-A. Ould-Beddi and L. Striingmann

Projectivity and Flatness of a Module over the Subring of

Invariants. . . . 4357 T. Guedenon

Cosemisimple Hopf Algebras and the FRT Construction . . . 4377 E. Mutter

Some Enumerative Formulas for Flag Varieties . . . 4395 H. Duan

An Application of the Artin-Schreier Theorem . . . 4421 J . Boechat and M. Lucia

Some t-Closed Pairs . . . 4425 S. Visweswaran

Identities with Generalized Derivations . . . 4437 T.-K. Lee and W.-K. Shiue

Central Extensions and Commutativity D e g r e e . . . 4451 P. Lescot

Algebras of Finite Context Type. II. The Uniqueness of

Spectral Matrices . . . 4461 M.-S. Li

vi CONTENTS On the Lengths of Maximal Chains of Intermediate Fields in

a Field Extension . . . 4487 D. E. Dobbs and B. Mullins

Donovan Conjecture and Loewy Length for Principal 3-Blocks of Finite Groups with Elementary Abelian Sylow 3-Subgroup

of Order 9 . . . 4509 S. Koshitani and H. Miyachi

Quadratic Descent for Quaternion A l g e b r a s . . . 4523 J . R. Swallow

The Hamiltonian Algebras of Cartan Type in Characteristic 0 . . . 4545 W. Jeon

Presentations, Conjugacy, Roots, and Centralizers in Groups

of Piecewise Linear Homeomorphisms of the Real L i n e . . . 4557 M. G. Brin and C. C. Squier

On Canonically Derived Families of Surfaces of General

Type over Curves . . . 4597 M. Chen

^-//-Bimodules and Equivalences . . . 4619 C. Menini, A. Seidel, B. Torrecillas, and R. Wisbauer

Generalized Quadrangles and Cubic Forms . . . 4641t J. R. Faulkner

Finite-Dimensional Non-commutative Poisson Algebras. I I . . . 4655 F. Kubo

Doi-Koppinen Hopf Bimodules Are Modules . . . 4671 S. Wang

Tame Two-Point Algebras Without Loops . . . 4683 T. Brustle and Y. Han

A Note on Fixed Points of Certain Relatively Free Nilpotent

Groups . . . 4693 A. I. Papistas

Specht Modules for Ariki-Koike Algebras . . . 4701 J. Du and H. Rui

Extensions of Cocommutative Coalgebras and a Hochschild—

Kostant—Rosenberg Type T h e o r e m . . . 4721 M. A. Farinati and A. Solotar

CONTENTS vii Associated Graded Rings of Numerical Semigroup R i n g s . . . 4759 V. A. Sapko

On Surjective Lie Homomorphisms onto Lie Ideals of Prime

Rings. . . . 4775 K. I. Beidar and M. A. Chebotar

On the Cohomology of a Space Curve Containing a Plane

Curve . . . 4795 R. Notari and I. Sabadini

Codimension and Regularity over Coherent Semilocal Rings . . . 4811 G. Tang, Z. Huang, and W. Tong