This volume, dedicated to Bruno J. Muller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today.
The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed.
In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.
Preface |
|
ix | |
|
Chains of semiprime and prime ideals in Leavitt path algebras |
|
|
1 | (16) |
|
|
|
|
|
The conditions (Ci), i = 1, 2, 3, 11, 12, in rings, modules, categories, and lattices |
|
|
17 | (18) |
|
|
On K-semi discrete modules |
|
|
35 | (8) |
|
|
|
|
|
Nonlinear Lie triple higher derivation on triangular algebras |
|
|
43 | (16) |
|
|
|
On universal localization of Noetherian rings |
|
|
59 | (10) |
|
|
|
A survey of intrinsic extensions of rings |
|
|
69 | (20) |
|
|
|
The reduced ring order and lower semi-lattices |
|
|
89 | (18) |
|
|
|
On a category of extensions whose endomorphism rings have at most four maximal ideals |
|
|
107 | (20) |
|
|
|
Tilting cotorsion pairs and pure semisimple rings |
|
|
127 | (14) |
|
|
|
Twist invariants of graded algebras |
|
|
141 | (30) |
|
|
|
Modules invariant under monomorphisms of their envelopes |
|
|
171 | (10) |
|
|
|
|
Some results and questions on left-right symmetry |
|
|
181 | (8) |
|
|
|
Rings in which every unit is a sum of a nilpotent and an idempotent |
|
|
189 | (16) |
|
|
|
|
Commutators and anti-commutators of idempotents in rings |
|
|
205 | (20) |
|
|
|
Distributive hierarchies of binary operations |
|
|
225 | (18) |
|
|
|
Idealizers in differential polynomial rings and generalized HNP rings |
|
|
243 | (12) |
|
|
|
Module hulls---similarities and contrasts |
|
|
255 | (18) |
|
|
|
Direct sums of completely almost self-injective modules |
|
|
273 | |
|
Sergio R. Lopez-Permouth, Ohio University, Athens, OH.
Jae Keol Park, Busan National University, South Korea.
S. Tariq Rizvi, The Ohio State University, Lima, OH.
Cosmin S. Roman, The Ohio State University, Lima, OH.