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COMMUNICATIONS IN ALGEBRA Volume 28, Number 3, 2000

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COMMUNICATIONS IN ALGEBRA Volume 28, Number 3, 2000

CONTENTS

Number of Connected Components of Groups of Real Points of

Adjoint G r o u p s . . . 1097 N. Q. Tharig

On Decomposition of Strongly Quasi-Frobenius Rings . . . 1111 Y. Yukimoto

On Some Examples of Atomic Domains and of G-Rings . . . 1115 T. Dumitrescu

Some Factorization Properties of Composite Domains A+XB[X]

and A + X B [ [ X ] ] . . . 1125 T. Dumitrescu, S. 0. I. Al-Salihi, N. Radu, and T. Shah

The Rank of a Latin Square Associated to an Abelian G r o u p . . . 1141 K. H. Leung and S. Ling

*-0rderings on a Ring with Involution . . . 1157 M Marshall

Quasi-duality for the Rings of Generalized Power S e r i e s . . . 1175 Z. Liu and H. Cheng

Projective Character Degree Patterns of 2-Groups . . . 1189 R. J. Higgs and J. F, Humphreys

On Identities for Coalgebras and Hopf Algebras . . . 1211 M. Kochetov

On the Equations Defining Minimal V a r i e t i e s . . . 1223 M. Barile and M. Morales

Dominions in Varieties of Nilpotent G r o u p s . . . 1241 A. Magidin

Extended Ockham Algebras . . . 1271 T. S. Biyth and J. Fang

Weak Galois Cohomology and Group E x t e n s i o n s . . . 1285 R. Stimets

vii

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viii CONTENTS The Coexponent of a Regulars-Group . . . 1309 P. J. Sanders

A Filtration of the Sally Module and the Associated Graded Ring

of an Ideal . . . 1335 C. Polini

.PC-Groups Whose Central Factor Group Can Be Embedded in a

Direct Product of Finite Groups . . . 1343 L. A. Kurdachenko, J. Otal, and M. J. Tomkinson

IBN for Graded R i n g s . . . 1351 C. Ndstasescu, B. Torrecillas, and F. Van Oystaeyen

Special Subschemes on Cuspidal C u r v e s . . . 1361 R. F. Lax

Betti Numbers and Lifting of Gorenstein Codimension Three

I d e a l s . . . 1371 A. Conca and G. Valla

The Grothendieck Group of the Category of Modules of Finite

Projective Dimension over Certain Weakly Triangular Algebras . . . 1387 E. N. Marcos, H. A. Merklen, andM. I. Platzeck

Invitation to Composition . . . 1405 L. Kluge, E. Paal, andJ. Stasheff

Nonexistence of Derivations on Transformation Near-Rings... 1423 Y. Fong, W.-F. Ke, and C.-S. Wang

An Explicit Description of the Dennis Trace M a p . . . 1429 M. R. Kantorovitz and C. Miller

Primitive Algebras with PI Primitizers . . . 1449 J. A. Anquela and E. Garcia

On Level Two Representations o f A ^ . . . 1463 7?. T. Harger

Catenarity in Rings with Abelian Group A c t i o n . . . 1475 T. Guedenon

Some Remarks on Hilbert Functions of Veronese Algebras... 1487 H. E. A. Campbell, A. V. Geramita, I. P. Hughes, G. G. Smith,

and D. L. Wehlau

Prime Rings with Semigroup Generalized I d e n t i t y . . . 1497 K. I. Beidar, Y. Fong, and L. A. Bokut

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CONTENTS ix A Classification of Maximal Subsemigroups of Finite Order-

Preserving Transformation Semigroups ... 1503 X. Yang

Betti Numbers forp-Stable Ideals... 1515 V. Ene, G. Pfister, and D. Popescu

Residual Properties of Unit Loops and Augmentation Ideals of

Alternative Loop Rings ... 1533 A. K. Bhandari and A. Kaila

The Strong Simple Connectedness of a Tame Tilted Algebra ... 1553 I. Assem, S. Liu, andJ. A. de la Pena

Ideals and Congruences in Effect Algebras and QMV-Algebras ... 1567 R. Giuntini and S. Pulmannovd

Groups with Many Periodic Factor-Groups... 1593 L. A. Kurdachenko and I. Ya. Subbotin

Archimedean Preorderings in Non-commutative Semialgebraic

Geometry... 1603 J. Cimpri£

On the Hochschild Cohomology of Truncated Cycle Algebras ... 1615 M. J. Bardzell, A. C. Locateli, and E. N. Marcos

Some Theorems on Weak Direct Products of Algebras... 1641 A. Walendziak

Corrigenda... 1653

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