An Exact Sequence in the Representation Theory of 51(2) ... 4153 K. Khuri-Makdisi
When Cyclic Modules Have E-Injective Hulls ... 4161 C. Faith
Dedekind Unite Rings and a Theorem of Kaplansky ... 4175 C. Faith
Inverting Elements in Rigid Monoids ... 4179 R. Anloine and F. Cedo
Finitely Generated Flat Modules and a Characterization
of Semiperfect Rings ... ... 4195 A Faeehini, D, Her hern, and I. Sakhajev
A Generalized Hughes Property of Finite Groups ... 4215 R. A. Bryce, V. Fedri. and L. Serena
On Lifting Projectivc Modules Modulo an Essential Socle ... 4245 Q. Ytic and I). Ye
Deformations of Functions Without Real Critical Points ... 4255 ./. A. Gonzalez- Ramirez and L Luengo
Faith-Utumi Theorem for Associative Pairs ... 4267 M. A. Forles Escalona
The ,/-Radical and the Pierce Radicals of a Lattice-
Ordered Ring ... 4273 S. A. Steinberg
Free Subgroups in the Units of Z|tfH x Cp ... 4291 R. A. Ferraz
Relative Brauer Groups of Function Fields of Curves of
Genus One ... 4301 /. Han
An Algebraic Study of Affine Real Ultrafilters ... 4329 J. MeEnemey and G. Stengle
vi Contents Affine Groups with Two Self-Paired Orbitals 4359 C. M. Ronev-Dougal
Gorenstein Modules over Zariski Filtered Rings 4371 M. J. Asensio, J. A. Lopez Ramos, and B. Torrecillas
McAlister's P-Theorem via Schiitzenberger Graphs 4387 B. Steinberg
On the Diameter of a /^-Regular Conjugacy Class
Graph of Finite Groups II 4393 A. Belt rein and M. J. Felipe
The Prime Graph of a Sporadic Simple Group 4405 M'. Httgie
An Ideal-Based /cro-Divisor Graph of a Commutative Ring 4425 S. P- Redmond
Nil Ideals of Crossed Products 4445 ./. M. Din/itrovd
Coseparable Curings 4455 ./. (.ioinei-'rorrecillas and A. Loidy
Pseudo-Frubenius Rings: Characterizations and Questions 4473 M. F. Yousif and Y. '/.lion
Some Results on [Normal Homogeneous Ideals 4485 /,. Reid. L. (i. Robert*, and M. A. VitulH
Y'- and .^-Cross-Sections in .///'„ 4507 O. (ianviishkin and V. Maiorchuk
Graded Semiartinian Rings: Graded Perfect Rings 4525 C. Ndstdseseu. L. Dan.}, and B. Torrecillas
Jordan Superderivations 4533 M. Fosner
Projectivc Valuations, D-Relations, and Ends of A-Trees 4547 /. M. Chiwell and E. Koudela
Complex Structures in Real Algebras. I. Two-Dimensional
Commutative Case 4571 Z. Balanov and Y. Krtisnov
Real Hypersurfaces (laving Many Pseudo-hyperplanes 4611 J. Hnivnan
Contents vii
Products of Conjugacy Classes in the Special Linear Groups 4623 D. M. Rodgers and J. Saxl
Non-abelian Tensor Product of Leibniz Algebras and an
Exact Sequence in Leibniz Homology 4639 J. M. Casaas and M. Ladra
Corrigendam 4647
