1 edition of **Webs and quasigroups** found in the catalog.

Webs and quasigroups

- 99 Want to read
- 13 Currently reading

Published
**1991**
by Tver State University in Tver [Russia]
.

Written in English

- Webs (Differential geometry) -- Congresses.,
- Quasigroups -- Congresses.

**Edition Notes**

Other titles | Tkani i kvazigruppy. |

Contributions | Shelekhov, A. M., Nonlinear Geometric Algebra-89 (1989 : Moscow, Russia) |

Classifications | |
---|---|

LC Classifications | QA648.5 .W43 1991 |

The Physical Object | |

Pagination | 164 p. : |

Number of Pages | 164 |

ID Numbers | |

Open Library | OL1316617M |

LC Control Number | 92189667 |

OCLC/WorldCa | 27717073 |

The book concludes with appendices that summarize some essential topics from category theory, universal algebra, and coalgebras. Long overshadowed by general group theory, quasigroups have become increasingly important in combinatorics, cryptography, algebra, and physics. Book Series List of Books in this Series Previous Book in this Series Next Book in this Series. Sigma Series in Pure Mathematics -- Volume 7 Enlarged Picture Hala O. Pflugfelder Quasigroups and Loops. An Introduction pages, hard cover, ISBN , EUR , This is a self-contained text written on an introductory level.

Part of the Mathematics and Its Applications book series (MAIA, volume ) Abstract Our interest in trans-symmetric spaces is based on the fact that they generalize the well known construction of symmetric spaces of [1] and that of s -spaces [2, 3, 4]. Shows how representation theories for groups are capable of extending to general quasigroups. This book presents the fundamentals of quasigroup and loop theory, covering special classes, the combinatorial multiplication group, universal stabilizers, and quasigroup analogues of abelian groups.

"This monograph presents the complete theory of smooth quasigroups and loops, as well as its geometric and algebraic applications. Based on a generalisation of the Lie-group theory, it establishes new backgrounds for differential geometry in the form of . Russian a number of books having great value for anyone interested in problems in diﬀerential geometry. We note especially his translation of the two volumes of Foun-dations of diﬀerential geometry by Kobayashi and Nomizu. Eight textbooks were published from his lecture notes. Some of them served as a basis for monographs on topics of his.

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Maks A. Webs and quasigroups book, Vladislav V. Goldberg, in Handbook of Differential Geometry, Idempotent coordinate quasigroups associated with webs W(3, 2, r) In the set of coordinate quasigroups connected with a web W(3, 2, r), in addition to coordinate loops, idempotent quasigroups are also ina [] proved that on any r-dimensional smooth submanifold V ⊂ M in.

Buy Geometry and Algebra of Multidimensional Three-Webs (Mathematics and its Applications) on FREE SHIPPING on qualified ordersCited by: The Paperback of the Theory of Multicodimensional (n+1)-Webs by Vladislav V.

Goldberg at Barnes & Noble. FREE Shipping on $35 or more. Due to COVID, orders may be delayed. Thank you for your patience. Coupons & Deals Book Annex Buy 1, Get 1 50% Off: Books for All Ages Bestsellers 30% Off Hardcover New Releases from 20% Off.

Quasigroup Completion An order n quasigroup, or Latin Square, is defined by n x n multiplication in which each row and column is a permutation of the n symbols.

This monograph, which is the first to be devoted to the geometry of multidimensional three-webs, presents the classical adn up-to-date results of the theory, and those parts of geometry and algebra which are closely connected with it. Many problems of the theory of smooth quasigroups.

Akivis, “Local differentiable quasigroups and three-webs of multidimensional surfaces,” in: Studies in the Theory of Quasigroups and Loops [in Russian], Shtiintsa, Kishinev (), pp. 3– Webs and local differentiable quasigroups 19 (n + 1)-webs and local differentiable n-quasigroups Structure of a web W(n + 1, n, r) and its coordinate n-quasigroups in a neighborhood of a point Structure of a web W(4, 2, r) and its coordinate quasigroups in a neighborhood of a point Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are discussed.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

Webs and Quasigroups, 11 Kofoglu N, Ozdeger A. Some special nets of curves in a Weyl hypersurface. Webs and Quasigroups, 12 Zlatanov G, Tsareva B. On the Geometry of the nets in the n-dimensional space of Weyl.

`This book is a basic reference of web geometry and gives a new impulse to the further development of this theory and of the related fields: -- Local Differentiable n-Quasigroups of a Web W(n + 1, n, r) -- Structure of a Web W(n + 1, n, r) and Its Coordinate n-Quasigroups in. Wing microsculpturing has been described in the genusAmitermes.

It occurs on the upper and lower wing surfaces and is composed of a single row of small (3–5 μm long), thorny papillae at the. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

Book Series List of Books in this Series Previous Book in this Series Next Book in this Series. Sigma Series in Pure Mathematics -- Volume 8 Enlarged Picture O. Chein, H. Pflugfelder, J. Smith (eds.) Quasigroups and Loops.

Theory and Applications pages, hard cover, ISBNEURPart of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 82) Abstract Certain algebraic systems, first of all quasigroups and loops, are associated with three-webs. Get Textbooks on Google Play.

Rent and save from the world's largest eBookstore. Read, highlight, and take notes, across web, tablet, and phone. L. Sabinin and P.O. Mikheev "Analytic Bol loops" (Webs and quasigroups, Interuniversity thematic collection, Kalinin) p (Russian) [31] L. Sabinin and S.S. Yantranova "On canonical reductants of spaces of constant curvature" Webs and quasigroups ed A.M.

Shelekhov (Collection of scientific works, Kalinin) p (Russian). In his book 'Foundations of the Theory of Quasigroups and Loops' (in Russian), Nauka, Moscow (), V. Belousov posed 20 open problems. One of them is: Problem 1 [Belousov's Problem # 18].

Abstract. In Chapter 1 we studied some special classes of multicodimensional (n + 1)-webs: parallelisable, transversally geodesic, isoclinic, (2n + 2)-hedral, hexagonal, were defined using a pure differential geometry approach.

In Chapter 3 we introduced a concept of an l.d. n-quasigroup and established close relations between (n+1)-webs and l.d.

n-quasigroups. A loop is a quasigroup which has an identity element, 1, satisfying 8x(x1 = 1x = x). Quasigroups are studied not only in algebra, but also in combinatorics, where they are identified with Latin squares, and in projective geometry, where they are identified with 3-webs.

For details and references to earlier literature, see the books [1, 2]. Mat. Nauk 48 (), no. 3 (), –; in Webs and Quasigroups,pp.

4–8; and in Webs and Quasigroups, /, pp. 7– In the last publication, a complete list of Akivis’ publications prior to and the list of Ph. D. theses written under his supervision were published. In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always roups differ .These quasigroups also satisfy (x ∗ y) ∗ y = x for all x and y in the quasigroup.

These quasigroups are known as Steiner quasigroups. The set {±1, ±i, ±j, ±k} where ii = jj = kk = +1 and with all other products as in the quaternion group forms a nonassociative loop of .