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Thomas Lie Algebra Prederivations and Strongly Nilpotent Lie Algebras

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COMMUNICATIONS IN ALGEBRA Volume 30, Number 7, 2002

CONTENTS

Classification of Rings Satisfying Some Herstein's Condition

on the Set of All Non-nilpotents . . . 3087 T. Nagahara and A. Yaqub

Compact Matrix Quantum Groups Arising from Hermitian

Yang-Baxter Coalgebras . . . 3107 A. Abella and N. Andruskiewitsch

Groups with Context-Free Reduced Word Problem . . . 3143 D. W. Parkes and R. M. Thomas

Lie Algebra Prederivations and Strongly Nilpotent Lie

Algebras . . . 3157 D. Burde

The Length of Noetherian M o d u l e s . . . 3177 G. Brookfield

Structure of the Lie Algebras Related to Those of Block . . . 3205 F. Su and J . Zhou

Quadratic Corestriction, C^-Embedding Problems, and Explicit

Construction. . . . 3227 J . R. Swallow and F. N. Thiem

A Note on Certain Subgroups of Prime Rings with

Derivations. . . . 3259 C.-L. Chuang and T.-K. Lee

Nearly Absolute-Valued Algebras . . . 3267 K. El Amin, M. Ramirez, and A. Rodriguez-Palacios

Second Cohomology Group of Generalized Witt Type Lie

Algebras and Certain Representations . . . 3285 Y. Su and K. Zhao

Examples of FCR-Algebras . . . 3311 E. E. Kirkman and L. W. Small

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vi CONTENTS Commutative Rings Whose Elements Are a Sum of a Unit

and Idempotent. . . . 3327 D. D. Anderson and V. P. Camilla

Regular Rings with Comparability and Some Related

Properties . . . 3337 M. Kutami

Quelques Calculs de Cohomologie de Compositions de

Puissances Symetriques . . . 3351 A. Troesch

Multiplication Modules and the Ideal 0(M) ... 3383 D. D. Anderson and Y. Al-Shaniafi

Pfister Forms Times Trace Forms. . . . 3391 M. Monsurro

Classification and Direct Decompositions of Some Butler Groups

of Countable Rank . . . 3403 E. Blagoveshchenskaya and R. Gobel

A Note on Character Restrictions . . . 3429 5. Dolfi

Algorithms on Paramatric Decomposition of Monomial Ideals . . . 3435 J.-C. Liu

Formation Operators on Classes of Algebras . . . 3457 W. Guo and K. P. Shum

On the Nilpotence of the Multiplication Operator in

Commutative Right Nil Algebras . . . 3473 /. Correa, I . R. Hentzel, and A. Labra

Endomorphisms of %„, P®,, and ^ . . . 3489 V. Mazorchuk

Counting the Orbits on Finite Simple Groups Under the

Action of the Automorphism Group — Suzuki Groups vs. Linear

Groups . . . 3515 S. Kohl

Cycles and Symmetries of Zero-Divisors . . . 3533 5'. B. Mulay

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CONTENTS vii Three-Generator Indecomposable RA Loops. . . . 3559 0. Chein and E. G. Goodaire

E r r a t a . . . 3565

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