Polyadic Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Polyadic Groups PDF full book. Access full book title Polyadic Groups by Wieslaw A. Dudek. Download full books in PDF and EPUB format.
Author: Wieslaw A. Dudek
Publisher: CRC Press
ISBN: 1040001041
Category : Mathematics
Languages : en
Pages : 424
Get Book Here
Book Description
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.
Author: Wieslaw A. Dudek
Publisher: CRC Press
ISBN: 1040001041
Category : Mathematics
Languages : en
Pages : 424
Get Book Here
Book Description
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.
Author: Eugene Plotkin
Publisher: American Mathematical Soc.
ISBN: 1470437139
Category : Mathematics
Languages : en
Pages : 250
Get Book Here
Book Description
A co-publication of the AMS and Bar-Ilan University This volume contains the proceedings of the Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, held from March 20–24, 2016, at Bar-Ilan University and The Hebrew University of Jerusalem, Israel, in honor of Boris Plotkin's 90th birthday. The papers in this volume cover various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.
Author: K. Glazek
Publisher: Springer Science & Business Media
ISBN: 9401599645
Category : Mathematics
Languages : en
Pages : 394
Get Book Here
Book Description
This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).
Author: J. Aczél
Publisher: Cambridge University Press
ISBN: 9780521352765
Category : Mathematics
Languages : en
Pages : 490
Get Book Here
Book Description
This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.
Author: S. Feinman
Publisher: Springer Science & Business Media
ISBN: 1489924620
Category : Psychology
Languages : en
Pages : 424
Get Book Here
Book Description
Integrating the perspectives of a number of disciplines, this work examines social referencing in infants within the broader contexts of cognition, social relations, and human society as a whole.
Author: Roderick Sprague
Publisher: Northwest Anthropology
ISBN:
Category : Social Science
Languages : en
Pages : 137
Get Book Here
Book Description
The Southern Plateau: An Ecological Analysis of Intergroup Relations, Angelo Anastasio Additional Notes on Sasquatch Foot Anatomy, Grover S. Krantz
Author: Richard Hubert Bruck
Publisher: Springer
ISBN: 366243119X
Category : Mathematics
Languages : en
Pages : 195
Get Book Here
Book Description
Author: Leonid A. Bokut'
Publisher: American Mathematical Soc.
ISBN: 0821851381
Category : Algebra
Languages : en
Pages : 696
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
Get Book Here
Book Description
Author: Wieslaw A. Dudek
Publisher: Walter de Gruyter
ISBN: 3110269309
Category : Mathematics
Languages : en
Pages : 400
Get Book Here
Book Description
This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras, and its generalizations and applications. The results presented here were originally published mostly in the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory.
