COMMUNICATIONS IN ALGEBRA

COMMUNICATIONS IN ALGEBRA

Volume 28, Number 5,2000

CONTENTS

Four-Dimensional Regular Algebras with Point Scheme, a

Nonsingular Quadric in P3 . . . 2211 M. Vancliffand K. Van Rompay

Lie-Admissible Algebras and Generalized Witt A l g e b r a s . . . 2243 Y. Jia

Solutions of Yang-Baxter Equation in an Endomorphism

Semigroup and Quasi-(co)braided Almost Bialgebras... 2253 F. Li

The Number of Homomorphisms from a Finite Abelian Group

to a Symmetric Group... 2271 H. Katsurada, Y. Takegahara, and T. Yoshida

Some Remarks on Dense Submodules of Multiplication Modules... 2291 Y. Tiras, A. Harmanci, and P. F. Smith

Two Dimensional Coordinate Polynomials and Dominant Maps . . . 2297 L. A. Campbell and J.-T. Yu

Quantum Doubles in Monoidal C a t e g o r i e s . . . 2303 H.-X. Chen

A Topological Characterization of the Goldman Prime Spectrum

of a Commutative R i n g . . . 2329 0. Echi

Integral Ring Extensions and L O - P a i r s . . . 2339 R. Debremaeker and V. Van Lierde

Remarks on Pseudo-valuation Rings . . . 2343 A. Badawi

On Chained Overrings of Pseudo-valuation R i n g s . . . 2359 A. Badawi

Rational Invariants of Certain Orthogonal Groups over Finite

Fields of Characteristic Two... 2367 S. M. Rajaei

vii

viii CONTENTS Weak Normality and T - C l o s e d n e s s . . . 2395 M. Picavet-L 'Hermitte

The Dimension of the Determinantal Scheme V,,(t,t,l) of the

Catalecticant M a t r i x . . . 2423 Y. H. Cho andB. E. Jung

Nilpotent Right Alternative Rings and Bol Circle Loops . . . 2445 E. G. Goodaire

Two Star-Operations and Their Induced Lattices . . . 2461 D. D. Anderson and S. J. Cook

Nil-Extensions of Simple Po-Semigroups... 2477 V. Cao andX. Xu

Strongly Etale Extensions and Weak Henselizations ... 2497 F. DeMeyer, T. McKenzie, and K. Schneider

Tensor Products of Irreducible Representations of the Groups

GL(2,k) and SL(2,k), k a Finite F i e l d . . . . 2507 L. Aburto-Hageman and J. Panto/a

Note on Valuation Rings and Semistar-Operations . . . 2515 R. Matsuda

Isomorphism of Modular Group Algebras of Totally Projective

Abelian G r o u p s . . . 2521 P. Danchev

On Krull Overrings of a Marot Ring Whose Regular Ideals Are

Finitely Generated... 2533 G. W. ChangandB. G. Kang

On the Elasticities of Krull Domains with Finite Cyclic Divisor

Class G r o u p . . . . 2543 D. F. Anderson and S. T. Chapman

A Length Inequality for One-Dimensional Local Rings... 2555 D. Delfino, L. Leer, and R. Muntean

Non-unique Direct Product Decompositions of Direct Powers of

Certain Metacyclic Groups... 2565 P. Witbooi

Some Remarks on Multiplication Ideals. I I . . . 2577 D. D. Anderson

CONTENTS ix Schreier Theory for Singular Extensions of Categorical Groups

and Homotopy Classification ... 2585 P. Carrasco, A. R. Garzon, andJ. G. Miranda

Relatively Free B a n d s . . . 2615 M Petrich and P. V. Silva

Two Questions on Rings Whose Modules Have Maximal

S u b m o d u l e s . . . 2633 W.Xue