/. T. Condo and J . Coykendall

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COMMUNICATIONS IN ALGEBRA

Volume 27, Number 5, 1999

CONTENTS

Examples of Rings and Modules as Trivial Extensions . . . 1997

Y. Zhou

Left-Distributive Idempotent Algebras . . . 2003

D. M. Larue

On ZrGraded Polynomial Identities of Verbally Semiprime

Algebras . . . 2031

0. M. Di Vincenzo

Square-Free Rings . . . 2045 B. K. D'Ambrosia

Strong Convergence Properties of SFT Rings . . . 2073

/. T. Condo and J . Coykendall

On Simple Singular GP-Injective M o d u l e s . . . 2087 N. K. Kirn, S. B. Nam, and J. Y. Kirn

On General Principally Injective Rings . . . 2097

J . Chen and N. Ding

Some Ring-Theoretic Properties of Group Algebras . . . 2117

X.-D. Dong, C. B. Soh, and E. Gunawan

Rings Described by Various Purities . . . 2127

G. Puninski, M. Prest, and P. Rothmaler

Symplectic Ideals of Poisson Algebras and the Poisson Structure

Associated to Quantum Matrices . . . 2163

S.-Q. Oh

Poisson Enveloping Algebras . . . 2181

S.-Q. Oh

Flatness and LCM-Stability of Simple Extensions over

Noetherian D o m a i n s . . . 2187

M. Kanemitsu, T. Sugatani, and K. Yoshida

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viii CONTENTS On Semi-endomorphisms of Groups . . . 2193

K. I. Beidar, Y. Fong, W.-F. Ke. and W.-R. Wit

A Public Key System with Signature and Master Key Functions... 2207

T. Moh

Exponents of Varieties of Lie Algebras with a Nilpotent

Commutator Subalgebra . . . 2223

S. P. Mishchenko and V. M. Petrogradsky

Quivers of Groups with Normal p-Subgroups . . . 2231

M. Schaps

The Conjugacy Classes of Fixed Point Free Elements of Order

p or Ip in GL^(F) and SLn{F) ... 2243

H. You and J . Nan

Radicals of Submodules of Free M o d u l e s . . . 2253 D. Pusat-Yilmaz and P. F. Smith

w-Dimension of Domains . . . 2267 F. Wang

Projectively Stable Artin Algebras: Representation Theory and

Quivers with Relations . . . 2277

S. Jagadeeshan and M. Kleiner

Semigroups Whose Lattices of Right Congruences Are

S e m i a t o m i c . . . 2317

R. H. Oehmke

An Invariant Characterization of Monomial Algebras... 2331

M. J . Bardzell and E. L. Green

Lie Isomorphisms of Non-GPI Rings with Involution ... 2345 P. S. Blau

Hilbert Polynomial of Modules over Homogenous Solvable

Polynomial A l g e b r a s . . . 2375 H.Li

A Class of Non-symmetric Solutions for the Integrability Condition of the Knizhnik-Zamolodchikov Equation: A Hopf

Algebra Approach . . . 2393

G. Militaru

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CONTENTS ix Integer-Valued Polynomials in Several Variables . . . 2409

S. B. Mulay

Classes of 2-Step Nilpotent Lie Algebras . . . 2425 F. Levstein and A. Tiraboschi

On the Lattice of All Radical Classes. I. Examples of

Pseudocomplements . . . 2441

R. McDougall

On the Lattice of All Radical Classes. II. Hereditary and Some

Nonhereditary Complements . . . 2467 R. McDougall

Characterizations of Coherent Rings . . . 2491

J . Chen and N. Ding

Braided Yang-Baxter Operators . . . 2503

D.-M. Lu

Maps Behaving like Exponentials and Maximal Unipotent

Subgroups of Groups of Lie Type . . . 2511 A. Previtali

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COMMUNICATIONS IN ALGEBRA

Volume 27, Number 6, 1999

CONTENTS

Projections and Power Reduction Property for Generalized

Identities of Symmetric E l e m e n t s . . . 2521 T.-K. Lee and C.-Y. Pan

On the 2 out of 3 Lemma . . . 2547

L. Hethelyi and M. Szoke

A Family of Cohen-Macaulay Modules over Singularities of

Type X'+Y3 ... 2555

G. Pfister and D. Popescu

Some Conditions for Nil Ideals and Tt-Regular Ideals . . . 2573

K. Tanabe

Ziegler Spectra of Serial Rings with Krull D i m e n s i o n . . . 2583

G. Reynders

Simple Weight Modules over Twisted Generalized Weyl

A l g e b r a s . . . 2613

V. Mawrchuk and L. Turowska

The Recursive Dimension Formula for Graded Lie Algebras

and Its Applications . . . 2627

K. Kirn and D.-U. Shin

On Type I Baer Factors . . . 2653 K. G. Wolfson

The Simple Modules of the Ore Extensions with Coefficients

from a Dedekind Ring . . . 2665

V. Bavula

Little Jordan Clifford Algebras . . . 2701

K. McCrimmon

Computing Possible Class Fusions from Character Tables . . . 2733

T. Breuer

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viii CONTENTS Diagonal Direct Limits of Simple Lie Algebras . . . 2749 A. A. Baranov and A. G. Zhilinskii

On Lie Isomorphisms in Prime Rings with Involution... 2767 M. A. Chebotar

An Elementary Proof of Demushkin Theorem on Tori in

Hamiltonian Lie 77-AIgebras . . . 2779 M. I. Kuznetsov and V. A. Yakovlev

Local Singularities, Filtrations, and Tangential Flatness... 2785

J . Jahnel

Quantum O c t o n i o n s . . . 2809

M. Bremner

Abelian Extensions of Leibniz A l g e b r a s . . . 2833

J . M. Casas, E. Faro, and A. M. Vieites

Semigroups and Rings Whose Zero Products Commute . . . 2847 D. D. Anderson and V. Camilla

On the B-Injectors of Sporadic Groups . . . 2853

M. I . M. AlAli, Ch. Hering, and A. Neumann

Primitive Groups with Many Maximal S u b g r o u p s . . . 2865

P. Jimenei-Seral and J . P. Lafuente

Embedding a Quantum Rank Three Quadric in a Quantum P3 ... 2877

B. Shelton and M. Vancliff

The Torsion Product Property in Alternative Algebras. II. . . . 2905

C. Polcino Milies

On the Range of a G-Prime Fuzzy Ideal . . . 2913

R. P. Sharma and S. Sharma

On Regular Rings with ^-Comparability . . . 2917 M. Kutami

Application Signature et Anneaux A r c h i m e d i e n s . . . 2935

J.-P. Monnier

Specialization of M o d u l e s . . . 2959 D. V. Nhi and N. V. Trung

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CONTENTS ix On the Spaltenstein-Steinberg Map for Classical Lie Algebras . . . 2979

W. M. McGovern

The Hilbert Scheme Component of the Intersection of Two

Q u a d r i c s . . . 2995

D. Avritzer and I. Vainsencher

Okubo Algebras in Characteristic 3 and Their Automorphisms ... 3009

A. Elduque

Determining Local Triviality of Gg Actions . . . 3031

J . K. Deveney and D. R. Finston

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