Chapter 1. Decidability vs. Undecidability of the Word Problem in Amalgams of Inverse Semigroups -- Chapter 2. A Nonfinitely Based Semigroup of Triangular Matrices -- Chapter 3. Regular Elements in Von Neumann Algebras -- Chapter 4. LeftRight Clifford Semigroups -- Chapter 5. Certain Categories Derived from Normal Categories -- Chapter 6. Semigroup Ideals and Permuting 3-derivations in Prime Near Rings -- Chapter 7. Biordered Sets and Regular Rings -- Chapter 8. Topological Rees Matrix Semigroups -- Chapter 9. Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po-Gamma-Semigroups based on Fuzzy Points -- Chapter 10. Radicals and Ideals of Affine Near –Semirings over Brandt Semigroups -- Chapter 11. Operator Approximation -- Chapter 12. The Null Space Theorem -- Chapter 13. Role of Hilbert Scales in Regularization Theory -- Chapter 14. On Three-Space Problems for Certain Classes of C* - Algebras -- Chapter 15. Spectral Approximation of Bounded Self- Adjoint Operators- A Short Survey -- Chapter 16. On k-Minimal and k-Maximal Operator Space Structures.

This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent developments in semigroup theory and operator algebras. They highlight current research activities on the structure theory of semigroups as well as the role of semigroup theoretic approaches to other areas such as rings and algebras. The deliberations and discussions at the conference point to future research directions in these areas. This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von Neumann algebras, operator theory and operator approximations. Interested researchers will find several avenues for exploring the connections between semigroup theory and the theory of operator algebras.