Polyadic Groups

Polyadic Groups
Author: Wieslaw A. Dudek
Publisher: CRC Press
Total Pages: 424
Release: 2024-03-22
Genre: Mathematics
ISBN: 1040001041

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.

Groups, Algebras and Identities

Groups, Algebras and Identities
Author: Eugene Plotkin
Publisher: American Mathematical Soc.
Total Pages: 250
Release: 2019-03-19
Genre: Mathematics
ISBN: 1470437139

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.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences
Author: K. Glazek
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2013-06-29
Genre: Mathematics
ISBN: 9401599645

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).

Functional Equations in Several Variables

Functional Equations in Several Variables
Author: J. Aczél
Publisher: Cambridge University Press
Total Pages: 490
Release: 1989
Genre: Mathematics
ISBN: 9780521352765

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.

Social Referencing and the Social Construction of Reality in Infancy

Social Referencing and the Social Construction of Reality in Infancy
Author: S. Feinman
Publisher: Springer Science & Business Media
Total Pages: 424
Release: 2013-06-29
Genre: Psychology
ISBN: 1489924620

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.

Northwest Anthropological Research Notes

Northwest Anthropological Research Notes
Author: Roderick Sprague
Publisher: Northwest Anthropology
Total Pages: 137
Release:
Genre: Social Science
ISBN:

The Southern Plateau: An Ecological Analysis of Intergroup Relations, Angelo Anastasio Additional Notes on Sasquatch Foot Anatomy, Grover S. Krantz

A Survey of Binary Systems

A Survey of Binary Systems
Author: Richard Hubert Bruck
Publisher: Springer
Total Pages: 195
Release: 2013-12-11
Genre: Mathematics
ISBN: 366243119X