Semigroups, Algebra and Operator Theory: Kochi, India, February 2014: 142 - Rilegato

Rilegato

ISBN 10: 8132224876 ISBN 13: 9788132224877

Casa editrice: Springer Nature, 2015

Riassunto

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 This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von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.

Su questo libro

L'autore:

P.G. ROMEO is professor and head of the Department of Mathematics at the Cochin University of Science and Technology (CUSAT), Kochi, Kerala, India. His major research interests are in semigroups theory, representation theory, universal algebras and category theory. He earned his PhD from the University of Kerala in 1993 under the guidance of Professor K.S.S. Nambooripad. During his illustrious carrier as a researcher and a professor for over two decades, Prof. Romeo taught a wide variety of courses both for undergraduate and graduate level. He is also guiding students for doctoral research. He has published research articles with various peer reviewed international mathematics journals as well as given invited talks at various international and national conferences.

JOHN MEAKIN is the Milton Mohr Professor of Mathematics at the University of Nebraska-Lincoln, USA. He served as the chair of the Department of Mathematics at Nebraska during 2003–2011. His primary research interests are modern algebra and theoretical computer science, with particular focus on the algebraic theory of semigroups and geometric group theory. He teaches a wide variety of courses ranging from freshman level calculus to advanced graduate courses in algebra and topology. Professor Meakin has published extensively in peer reviewed international mathematics journals and served for 20 years as managing editor of International Journal of Algebra and Computation. Elected in 2014 as a Fellow of the American Mathematical Society, Professor Meaking has given around 200 invited lectures at conferences and universities around the world and has held extended visiting positions in Australia, Belgium, France, India, Israel, Italy, Spain, and the USA.

A.R. RAJAN is the emeritus professor at the Department of Mathematics, University of Kerala, India. He earned his PhD and MA (Russian language) from Kerala University. He also held positions such as member of the senate and syndicate of the University of Kerala and chairman of the board of studies in mathematics. Professor Rajan has also served as member board of studies at Cochin University of Science and Technology, University of Calicut, Mahatma Gandhi University, Manonmaiam Sundernar University and Periyar University. He has participated conferences held in Austria, Hungary, United Kingdom, Thailand and Vietnam and published in peer reviewed journals such as Semigroup Forum, Quarterly Journal of Mathematics, Journal of Pure and Applied Mathematics. His areas of research interests include structure theory of semigroups, matrix semigroups, topological semigroups, theory of semirings and automata theory.

Contenuti:

​Chapter 1. Commutative Orders in Semigroups (by Laszlo Marki).- Chapter 2. Generalization of a Theorem of Clifford (by Phan Ngoc Anh).- Chapter 3. Logics, Languages and Semigroups: From the Lattice of Band Varieties to the Quantifier Alteration Hierarchy within the Two-Variable Fragment of First-Order Logic (by Pascal Weil).- Chapter 4. Amalgams of Inverse Semigroups and C* -Algebras (by John Meakin).- Chapter 5. Word Problem in Amalgams of Inverse Semigroups (by Alessandra Cherubini).- Chapter 6. The Finite Basis Problem for Kauffman Monoids (by M.V. Volkov).- Chapter 7. Role of Hilbert Scale in Regularization Theory (by M. Thamban Nair).- Chapter 8. Operator Approximation (by B.V. Limaye).- Chapter 9. Left Clifford Semigroups (by M.K. Sen).- Chapter 10. Some Aspects of Ternary Semirings (by T.K. Dutta).- Chapter 11. On Some Geometric and Analytic Connections of  Idempotents of L(V) (by Sujit Kumar Sardar).- Chapter 12. Cocentralizing Derivations on Prime Rings (by Asma Ali, Farhat Ali).- Chapter 13. Some Regularities in Ternary Semirings (by Sukhendu Kar).- Chapter 14. Structure of Semirings and Ordered Semirings (by T. Vasanthi).- Chapter 15. The Large Rank of a Finite Semigroup using Prime Subsets (by Jitender Kumar, K.V. Krishna).- Chapter 16. Regular Ordered Semigroups Generated by Ordered Idempotents (by K. Hansda, A.K. Bhuniya).- Chapter 17. Spectral Approximation of Bounded Self-Adjoint Operators (by V.B. Kiran Kumar).- Chapter 18. On some Holomorphic Maps into Linear Groups (by Angom Tiken Singh).

Su questa edizione

• Editore: Springer Nature
• Data di pubblicazione: 2015
• ISBN 10: 8132224876
• ISBN 13: 9788132224877
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 150
• Redattore: Parackal Romeo, Meakin John. C, Rajan A. R.