Rings, Monoids and Module Theory

This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6-9 February 2020. This conference was held in honour of the work of the distinguished algebraist Daniel D. Anderson. Many participants and colleagues from around the world felt it appropriate to acknowledge his broad and sweeping contributions to research in algebra by writing an edited volume in his honor. The topics covered are, inevitably, a cross-section of the vast expanse that is modern algebra. The book is divided into two sections-surveys and recent research developments-with each section hopefully offering symbiotic utility to the reader. The book contains a balanced mix of survey papers, which will enable expert and non-expert alike to get a good overview of developments across a range of areas of algebra. The book is expected to be of interest to both beginning graduate students and experienced researchers.

Autorentext

Ayman Badawi is a Professor at the Department of Mathematical and Statistical Sciences at the American University of Sharjah, UAE. He holds a Ph.D. in Mathematics from the University of North Texas, Texas, USA. His research interests are in the area of commutative ring theory and graphs associated to rings. Dr. Badawi is the editor in chief of the Palestine Journal of Mathematics (PJM). He has numerous publications, including book chapters, journal articles, and conference proceedings.

Jim Coykendall is Professor of Mathematical Sciences at Clemson University, South Carolina, USA. He earned his Ph.D. from Cornell University, USA, in 1995, and has held various academic positions at the California Institute of Technology, the University of Tennessee, Cornell University, Lehigh University, and North Dakota State University. He has successfully guided 12 Ph.D. students. His research interests include commutative algebra and number theory.

Inhalt
David F. Anderson, Dan Anderson and his Mathematics.- David F. Anderson, F. GOTTI, Bounded and Finite Factorization Domains.- A.A. ALTIDOR, H.E. BRUCH, J.R. JUETT, Factorization and Irreducibility in Modules.- M. ZAFRULLAH, On -Potent Domains and -Homogeneous Ideals.- M. GOTTI, M. M. TIRADOR, On the Set of Molecules of Numerical and Puiseux Monoids.- D. E. DOBBS, Where Some Inert Minimal Ring Extensions of A Commutative Ring Come From, II.- E. Abuosba and M. Ghanem, A Survey on EM Conditions.- David F. Anderson, Some Remarks on the D + M Construction.- Roy O. Quintero Contreras, On a Problem about Lowest Terms Domains Posed.- S. Kabbaj and F. Suwayyid, Regularity and Related properties in Tensor Products of Algebras over a Field.- L. KLINGLER, R. WIEGAND and S. WIEGAND, Tame-Wild Dichotomy for Commutative Noetherian Rings : A Survey.- H. ANDEZ-ESPIET, R.M. ORTIZ-ALBINO, On the Characterization of Atoms.- D. D. ANDERSON, P. V. DANCHEV, Bounded Periodic Rings.- C. P. MOONEY, On Gracefully and Harmoniously Labeling Zero-Divisor Graphs.- T. ASIR, K. MANO, and M. SUBATHRA, A Survey on Genus of Selected Graphs from Commutative Rings.- DONG-IL LEE, A Computational Approach to Shephard Groups.- M. FARAG and R. P. TUCCI, BZS Near-Rings and Rings.