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 N ary structures written by Blagoj Popov and published by . This book was released on 1982 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Information Processing and Management of Uncertainty in Knowledge Based Systems written by Eyke Hüllermeier and published by Springer Science & Business Media. This book was released on 2010-06-25 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.

Download or read book Proceedings of the Second International Symposium N Ary Structures Varna 83 written by and published by . This book was released on 1984 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vector Valued Semigroups and Groups written by Благој Попов and published by . This book was released on 1988 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Review of Research written by and published by . This book was released on 1987 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Contributions to general algebra written by and published by . This book was released on 1985 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Contributions to General Algebra 2 written by G. Eigenthaler and published by . This book was released on 1983 with total page 418 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 1986 with total page 1128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Index of Mathematical Papers written by and published by . This book was released on 1985 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Conference Algebra and Logic Sarajevo 1987 written by Siniša Crvenković and published by . This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Colloquium Mathematicum written by and published by . This book was released on 1987 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Universal Algebra written by B. Csákány and published by North Holland. This book was released on 1982 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Polyadic Algebraic Structures written by Steven Duplij and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. The main idea was to take a single set, closed under one binary operation, and to 'generalize' it by increasing the arity of the operation, called a polyadic operation. Until now, a general approach to polyadic concrete many-set algebraic structures was absent. We propose to investigate algebraic structures in the 'concrete way' and provide consequent 'polyadization' of each operation, starting from group-like structures and finishing with the Hopf algebra structures. Polyadic analogs of homomorphisms which change arity, heteromorphisms, are introduced and applied for constructing unusual representations, multiactions, matrix representations and polyadic analogs of direct product. We provide the polyadic generalization of the Yang-Baxter equation, find its constant solutions, and introduce polyadic tensor categories.