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About 622 papers for “hypergroups”

Transposition hypergroups and complement hypergroups

Ali Iranmanesh, A. H. Babareza · Journal of Discrete Mathematical Sciences and Cryptography · 2003

Abstract We introduce the complement of a hyperoperation. We provide an example to reveal that the complement of a transposition hypergroup may be a transposition hypergroup. However, we show that the complement of a hypergroup in general is not a hypergroup. We prove that, under certain condition, the complement of a quasi-hypergroup is a quasihypergroup.

Cited by 3

Hypergroups

Series on multivariate analysis · 2022

Cited by 0

Hypergroups

Paul-Hermann Zieschang · 2023

Hypergroups is a monograph which provides a steep and direct path from elementary algebraic and combinatorial observations to research problems.

Cited by 3Open access

Hypergroups

H. S. Wall · American Journal of Mathematics · 1937

Cited by 33

Cyclic hypergroups and torsion in hypergroups

FRENI, Domenico · Institutional Research Information System (University of Udine) · 1980

One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One extends to the hypergroups, some notions of group theory, as torsion, generators etc. and finds results which concern them.

Cited by 0

Quasi-Order Hypergroups and T-Hypergroups

Šárka Hošková-Mayerová · SHILAP Revista de lepidopterología · 2017

Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom. In this paper a theorem which allows an easy description of all quasi-order hyper- groups is mentioned and some results concerning the relation of quasi-order and upper quasi-order hypergroups are given. Furthermore the transformation hypergroups acting on tolerance spaces are defined and an example of them is given

Cited by 7Open access

Amenable hypergroups

Skantharajah, Mahatheva. · University of Alberta Library · 1989

Cited by 0Open access

Flickr Hypergroups

Negoescu, Radu-Andrei, Gatica-Perez, Daniel, Adams, Brett et al. · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · 2009

The amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content~+~relations social media paradigm. We propose a novel approach to group searching through hypergroup discovery. Starting from roughly 11,000 Flickr groups' content and membership information, we create three different bag-of-word representations for groups, on which we learn probabilistic topic models. Finally, we cast the hypergroup discovery as a clustering problem that is solved via probabilistic affinity propagation. We show that hypergroups so found are generally consistent and can be described through topic-based and similarity-based measures. Our proposed solution could be relatively easy implemented as an application to enrich Flickr's traditional group search.

Cited by 0Open access

Flickr hypergroups

Negoescu, Radu-Andrei, Adams, Brett, Phung, Dinh et al. · Deakin Research Online (Deakin University) · 2009

\n\t\t\t\t\tThe amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content + relations social media paradigm. We propose a novel approach to group searching through hypergroup discovery. Starting from roughly 11,000 Flickr groups' content and membership information, we create three different bag-of-word representations for groups, on which we learn probabilistic topic models. Finally, we cast the hypergroup discovery as a clustering problem that is solved via probabilistic affinity propagation. We show that hypergroups so found are generally consistent and can be described through topic-based and similarity-based measures. Our proposed solution could be relatively easily implemented as an application to enrich Flickr's traditional group search.<br />\n\t\t\t\t

Cited by 0

Lie Hypergroups

M. Amini, A. Heydari, M. Toomanian · Journal of Lie theory · 2013

We define Lie hypergroups and study their embedded and immersed subhypergroups.In particular we investigate the properties of the connected component of the identity, the universal covering and fundamental group of a Lie hypergroup.We also study the quotients and orbits in a Lie hypergroup.

Cited by 0Open access

Flickr Hypergroups

Negoescu, Radu-Andrei, Adams, Brett, Phung, Dinh et al. · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · 2009

The amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content~+~relations social media paradigm. We propose a novel approach to group searching through hypergroup discovery. Starting from roughly 11,000 Flickr groups' content and membership information, we create three different bag-of-word representations for groups, on which we learn probabilistic topic models. Finally, we cast the hypergroup discovery as a clustering problem that is solved via probabilistic affinity propagation. We show that hypergroups so found are generally consistent and can be described through topic-based and similarity-based measures. Our proposed solution could be relatively easy implemented as an application to enrich Flickr's traditional group search.

Cited by 0Open access