COMMUNICATIONS IN ALGEBRA
Volume 27, Number 5, 1999CONTENTS
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
vii
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
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
COMMUNICATIONS IN ALGEBRA
Volume 27, Number 6, 1999CONTENTS
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
Vll
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
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