Nearrings, Nearfields and Related Topics

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.

The forward note by Günter Pilz (Johannes Kepler University, Austria) explains about past developments and future prospects in the theory of nearrings and nearfields. Certain applications of nearrings are found in a few chapters. Some of the chapters are independent; however flow is maintained in all the chapters. It also include few chapters of exploratory approach.

Contents:

• The Development of Nearrings and Nearfields with Greetings to the 24th Nearring Conference (Günter Pilz)
• Nearrings of Mappings: Past, Present and Future (G L Booth)
• Planar Nearrings: Ten Years After (Wen-Fong Ke)
• Goldie Dimension and Spanning Dimension in Modules and N-Groups (Bhavanari Satyanarayana)
• On the Prime Radicals of Nearrings and Nearring Modules (Nico Groenewald)
• Topics in Group Theory (B R Shankar)
• On the Structure of Composition Rings (Stefan Veldsman)
• Centers and Generalized Centers of Nearrings (Mark Farag and Kent M Neuerburg)
• Some Semigroup Theoretic Aspects of Nearrings (A R Rajan)
• On Ideal Theory for Lattices (S Parameshwara Bhatta)
• Hypernearrings: Some Developments Linked to Nearrings (B Davvaz)
• Frontiers of Fuzzy Hepernearrings (B Davvaz)
• Weakly Automorphism Invariant Modules (C Selvaraj and S Santhakumar)
• Trivial Generalized Matrix Rings (G F Birkenmeier and B J Heider)
• Introduction to Matrix Nearrings (J H Meyer)
• Recent Developments in Boolean Nearrings (Y V Reddy)
• Recent Results on the Annihilator Graph of a Commutative Ring: A Survey (Ayman Badawi)
• Different Prime Graphs of a Nearring with Respect to an Ideal (Kedukodi Babushri Srinivas, Jagadeesha B, Kuncham Syam Prasad and Juglal Suresh)
• On Probabilistic Paranormed Spaces and Couplae (Panackal Harikrishnan, Bernardo Lafuerza-Guillén and Carlo Sempi)
• Structural Results on Nearrings with Some Applications (Gerhard Wendt and Tim Boykett)
• Lie Rings and Lie Algebra Bundles (B S Kiranagi)
• Study of Theory of Nearrings and Goldie Structures, Topological Aspects, Wreath Sums etc. (Helen K Saikia and K C Chowdhury)
• Near-Algebras and Gamma Near-Algebras (T Srinivas and P Narasimha Swamy)
• Introducing the n-Gen Problem (S D Scott)
• A Study of Permutation Polynomials as Latin Squares (Vadiraja Bhatta and G R B R Shankar)

Readership: Graduate students and researchers.
Key Features:

• The content is especially suit as functional tool for the many interdisciplinary research areas such as computer science, Information Technology etc.
• This volume servers as best reference material as it also covers exploratory chapters wherein this book is useful for learner researchers