CONTENTS -- Preface -- Organizing Committees -- Participants -- Program -- Invited Lectures -- RINGS OVER WHICH POLYNOMIAL RINGS ARE NI Juncheol Han, Yang Lee, and Sung Pil Yang -- 1. Ring Theory -- 2. Basic Properties of Polynomial-NI Rings -- References -- THE GALOIS MAP AND ITS INDUCED MAPS George Szeto and Lianyong Xue -- 1. Introduction -- 2. Basic Definitions and Notations -- 3. Maps Induced by the Galois Map -- 4. The Galois Map -- References -- NOTES ON WEAKLY d-KOSZUL MODULES Jiafeng Lu and Xiaolan Yu -- 1. Introduction -- 2. The Proofs of Theorems 1.1 and 1.2 -- 3. The Proof of Theorem 1.3 -- References -- AN EXTENSION OF RINGS AND HOCHSCHILD 2-COCYCLES M. Tamer Kosan, Tsiu-Kwen Lee, and Yiqiang Zhou -- 1. The ring Hn (R -- ) -- 2. Reversible and symmetric rings -- 3. Armendariz rings -- 4. Abelian rings and uniquely clean rings -- References -- WHEN DO THE DIRECT SUMS OF MODULES INHERIT CERTAIN PROPERTIES? Gangyong Lee, S. Tariq Rizvi, and Cosmin Roman -- 1. Introduction -- 2. Injectivity and some of its generalizations -- 3. Baer, quasi-Baer, and Rickart modules -- 4. Direct sums of Baer and quasi-Baer modules -- 5. Direct sums of Rickart modules -- 6. Free Rickart and free Baer modules -- References -- NOTES ON SIMPLE-BAER MODULES AND RINGS Lixin Mao -- 1. Introduction -- 2. Main results -- References -- A NOTE ON QUASI-JOHNS RINGS Liang Shen -- 1. Introduction -- 2. Results -- References -- VON NEUMANN REGULAR RINGS SATISFYING GENERALIZED ALMOST COMPARABILITY Mamoru Kutami -- 1. Introduction -- 2. Notations and definitions -- 3. Generalized almost comparability -- References -- A NEW PSEUDORANDOM NUMBER GENERATOR AST Huiling Song -- 1. Introduction -- 2. Construction using Artin-Schreier towers -- 2.1. Recursive structures for p = 3 using an Artin-Schreier tower -- 2.2. Multiplication algorithm for p = 3.

3. Linear recurrence equations on finite fields -- 4. Pseudorandom number generators for p = 2 -- 4.1. TGFSR -- 4.2. MT -- 4.3. AST for p = 2 -- 5. AST for p = 3 -- 6. Concluding remarks -- References -- A NOTE ON PRIME RINGS WITH LEFT DERIVATIONS Nadeem ur Rehman -- 1. Introduction -- 2. Main results -- References -- ON RINGS IN WHICH EVERY IDEAL IS PRIME Hisaya Tsutsui -- 1. Introduction -- 2. Four basic theorems on fully prime rings (from Blair-Tsutsui [1]) -- 3. Right Noetherian fully prime rings -- References -- SOME COMMUTATIVITY THEOREMS CONCERNING ADDITIVE MAPPINGS AND DERIVATIONS ON SEMIPRIME RINGS Shakir Ali, Basudeb Dhara, and Ajda Fosner -- 1. Introduction -- 2. Preliminaries -- 3. The Results -- References -- STUDY ON THE ALGEBRAIC STRUCTURES IN TERMS OF GEOMETRY AND DEFORMATION THEORY Fumiya Suenobu and Fujio Kubo -- 1. Introduction -- 2. Closest associative algebra structures -- 2.1. The set of structure constants of associative algebras -- 2.2. Expression of C We parameterize C in the case of n = 2 -- 2.3. Definition of the distance between the multiplications -- 2.4. The closest associative structure -- 2.5. Example of the closest associative algebra structure -- 3. Associative structures obtainable by deformations -- 3.1. Deformation of associative algebras -- 3.2. Step deformation -- 4. Orbits of pair-wise non-isomorphic associative algebras in our variety -- 4.1. Classification of two dimensional real associative algebras -- 4.2. Orbit -- 5. Closest Lie algebras structure -- 5.1. The case of Lie algebras -- 5.2. Expression of -- 5.3. Example of the closest Lie algebra structure -- References -- ON THE FAITH CONJECTURE Kiyoichi Oshiro -- 1. Background -- 2. Local Semiprimary Right Self-Injective Rings with J3 = 0 -- 3. Local Semiprimary Right Self-Injective Rings with Jn-1 0 and Jn = 0.

4. Semiprimary Right Self-Injective Rings with Jn-1 0 and Jn = 0 -- References -- A SHORT PROOF THAT CONTINUOUS MODULES ARE CLEAN V.P. Camillo, D. Khurana, T.Y. Lam, W.K. Nicholson, and Y. Zhou -- References -- STRUCTURES ON S.G. NEAR-RINGS AND R, Si-GROUPS Yong Uk Cho -- 1. Introduction -- 2. Some properties of S-subgroups and S-homomorphisms -- References -- IMPRIMITIVE REGULAR ACTION IN THE RING OF INTEGERS MODULO n Juncheol Han, Yang Lee, and Sangwon Park -- 1. Introduction and basic definitions -- 2. Fixed point set in Zn under the regular action -- 3. Imprimitive set under the the regular action -- References -- ON SYMMETRIC BIDERIVATIONS OF SEMIPRIME RINGS Asma Ali and Faiza Shujat -- 1. Introduction -- 2. Symmetric biadditive maps -- 3. Symmetric biderivations -- References -- -PROJECTIVE AND STRONGLY -PROJECTIVE MODULES Ismail Amin, Yasser Ibrahim, and Mohamed Yousif -- 1. Introduction -- 2. Preliminaries -- 3. τ-Projective Modules -- 4. τ-Projective Covers -- References.