Advances in Ring Theory

1. Front Matter

   Pages i-ix

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2. Applications of Cogalois Theory to Elementary Field Arithmetic

   • Toma Albu

   Pages 1-17

3. On Big Lattices of Classes of R-modules Defined by Closure Properties

   • Alejandro Alvarado García, Hugo Alberto Rincón Mejía, José Ríos Montes

   Pages 19-36

4. Reversible and Duo Group Rings

   • Howard E. Bell, Yuanlin Li

   Pages 37-46

5. Principally Quasi-Baer Ring Hulls

   • Gary F. Birkenmeier, Jae Keol Park, S. Tariq Rizvi

   Pages 47-61

6. Strongly Prime Ideals of Near-rings of Continuous Functions

   • G. L. Booth

   Pages 63-68

7. Elements of Minimal Prime Ideals in General Rings

   • W. D. Burgess, A. Lashgari, A. Mojiri

   Pages 69-81

8. On a Theorem of Camps and Dicks

   • Victor Camillo, Pace P. Nielsen

   Pages 83-84

9. Applications of the Stone Duality in the Theory of Precompact Boolean Rings

   • Mitrofan M. Choban, Mihail I. Ursul

   Pages 85-111

10. Over Rings and Functors

    • John Dauns

    Pages 113-129

11. On Some Classes of Repeated-root Constacyclic Codes of Length a Power of 2 over Galois Rings

    • Hai Q. Dinh

    Pages 131-147

12. Couniformly Presented Modules and Dualities

    • Alberto Facchini, Nicola Girardi

    Pages 149-164

13. Semiclassical Limits of Quantized Coordinate Rings

    • K. R. Goodearl

    Pages 165-204

14. On Unit-Central Rings

    • Dinesh Khurana, Greg Marks, Ashish K. Srivastava

    Pages 205-212

15. Symplectic Modules and von Neumann Regular Matrices over Commutative Rings

    • T. Y. Lam, R. G. Swan

    Pages 213-227

16. Extensions of Simple Modules and the Converse of Schur’s Lemma

    • Greg Marks, Markus Schmidmeier

    Pages 229-237

17. Report on Exchange Rings

    • Saad H. Mohamed

    Pages 239-255

18. Filtrations in Semisimple Lie Algebras, III

    • D. S. Passman

    Pages 257-268

19. On the Blowing-up Rings, Arf Rings and Type Sequences

    • D. P. Patil

    Pages 269-282

20. A Guide to Supertropical Algebra

    • Zur Izhakian, Louis Rowen

    Pages 283-302

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

• Homological algebra
• Lattice
• Lie algebras
• algebra
• lattice theory
• module theory
• ring theory

• Department of Mathematics, Ohio University, Athens, USA

  Dinh Huynh, Sergio R. López-Permouth

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