Semigroups as Graphs
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 155
ISBN-13: 1599731916
DOWNLOAD EBOOK →Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 155
ISBN-13: 1599731916
DOWNLOAD EBOOK →Author: T. E. Hall
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 266
ISBN-13: 1483267334
DOWNLOAD EBOOK →Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.
Author: A.T. White
Publisher: Elsevier
Published: 1985-01-01
Total Pages: 313
ISBN-13: 9780080871196
DOWNLOAD EBOOK →The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbeddings, block designs associated with graph imbeddings, hypergraph imbeddings, map automorphism groups and change ringing. Thirty-two new problems have been added to this new edition, so that there are now 181 in all; 22 of these have been designated as ``difficult'' and 9 as ``unsolved''. Three of the four unsolved problems from the first edition have been solved in the ten years between editions; they are now marked as ``difficult''.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Published: 2009
Total Pages: 170
ISBN-13: 1599730936
DOWNLOAD EBOOK →For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.
Author: Delio Mugnolo
Publisher: Springer
Published: 2014-05-21
Total Pages: 294
ISBN-13: 3319046217
DOWNLOAD EBOOK →This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.
Author: Jan Okninski
Publisher: CRC Press
Published: 2020-08-27
Total Pages: 288
ISBN-13: 1000147665
DOWNLOAD EBOOK →Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current
Author: P. G. Romeo
Publisher:
Published: 2021
Total Pages: 241
ISBN-13: 9789813348431
DOWNLOAD EBOOK →This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9-12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall's relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.
Author: John Mackintosh Howie
Publisher: Oxford University Press on Demand
Published: 1995
Total Pages: 351
ISBN-13: 9780198511946
DOWNLOAD EBOOK →This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups. More than 150 exercises, accompanied by relevant references to the literature, give pointers to areas of the subject not explicitly covered in the text.
Author: Gracinda M S Gomes
Publisher: World Scientific
Published: 2004-07-14
Total Pages: 260
ISBN-13: 9814482323
DOWNLOAD EBOOK →In recent years, semigroups and languages have seen huge developments and found their motivation in other fields of mathematics as well as in computer science. This book is a collection of original contributions in those fields.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Author: P. G. Romeo
Publisher: Springer Nature
Published: 2021-03-26
Total Pages: 249
ISBN-13: 9813348429
DOWNLOAD EBOOK →This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.