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
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
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