Download or read book Polyadic Groups written by Wieslaw A. Dudek and published by CRC Press. This book was released on 2024-03-22 with total page 1736 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Polyadic Groups written by Wieslaw A. Dudek and published by CRC Press. This book was released on 2024-03-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bibliography of n groups polyadic groups and some group like n ary systems written by Kazimierz Glazek and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On evaluation of numbers of some polyadic groups written by K. Głazek and published by . This book was released on 1985 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Social Referencing and the Social Construction of Reality in Infancy written by S. Feinman and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Northwest Anthropological Research Notes written by Roderick Sprague and published by Northwest Anthropology. This book was released on with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Southern Plateau: An Ecological Analysis of Intergroup Relations, Angelo Anastasio Additional Notes on Sasquatch Foot Anatomy, Grover S. Krantz
Download or read book A Survey of Binary Systems written by Richard Hubert Bruck and published by Springer. This book was released on 2013-12-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A I Mal cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Demonstratio mathematica written by and published by . This book was released on 1991 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Groups Algebras and Identities written by Eugene Plotkin and published by American Mathematical Soc.. This book was released on 2019-03-19 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algebras of Multiplace Functions written by Wieslaw A. Dudek and published by Walter de Gruyter. This book was released on 2012-08-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Note on Polyadic Groups on Sets with at Most 7 Elements written by Kazimierz Głazek and published by . This book was released on 1986 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Northwest Anthropological Research Notes written by Deward E. Walker, Jr. and published by Northwest Anthropology. This book was released on with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ceremonial Integration in the Plateau of Northwestern North America, Bill Brunton Political Conflict on the Colville Reservation, John Alan Ross Deprivation, Revitalization, and the Development of the Shaker Religion, John L. Schultz Anthropological Papers Presented at the Northwest Scientific Association Meetings, 1924–1968, Roderick Sprague Papers Presented at the First Twenty Annual Meetings of the Northwest Anthropological Conference, 1948–1967, Roderick Sprague Abstracts of Papers Presented at the 21st Annual Meeting of the Northwest Anthropological Conference, Portland, 1968
Download or read book Discussiones Mathematicae written by and published by . This book was released on 2006 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Equations in Mathematical Analysis written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.
Download or read book Information Processing and Management of Uncertainty in Knowledge Based Systems written by Eyke Hüllermeier and published by Springer. This book was released on 2010-06-29 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Information Processing and Management of - certainty in Knowledge-Based Systems, IPMU, is organized every two years with the aim of bringing together scientists working on methods for the management of uncertainty and aggregation of information in intelligent systems. Since 1986, this conference has been providing a forum for the exchange of ideas between th theoreticians and practitioners working in these areas and related ?elds. The 13 IPMU conference took place in Dortmund, Germany, June 28–July 2, 2010. This volume contains 79 papers selected through a rigorous reviewing process. The contributions re?ect the richness of research on topics within the scope of the conference and represent several important developments, speci?cally focused on theoretical foundations and methods for information processing and management of uncertainty in knowledge-based systems. We were delighted that Melanie Mitchell (Portland State University, USA), Nihkil R. Pal (Indian Statistical Institute), Bernhard Sch ̈ olkopf (Max Planck I- titute for Biological Cybernetics, Tubing ̈ en, Germany) and Wolfgang Wahlster (German Research Center for Arti?cial Intelligence, Saarbruc ̈ ken) accepted our invitations to present keynote lectures. Jim Bezdek received the Kamp ́ede F ́ eriet Award, granted every two years on the occasion of the IPMU conference, in view of his eminent research contributions to the handling of uncertainty in clustering, data analysis and pattern recognition.
