This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals investigate several of their related characteristics. BF-algebra ideal characteristics are taken into account, supported examples built. Here, also develop new concepts known as hyper-B-algebra, hyper-BG-algebra, hyper-BH algebra generalizations o...

The GAIA framework prototype, described herein, explores the possibilities and problems that arise when combining versioning and open hypermedia paradigms. It will be argued that it by adding versioning as a separate service in the hypermedia architecture – is possible to build consistent versioning of both documents and hyperstructure. This approach eases some of the problems inherent in separ...

An important tool in the hyperstructure theory is the fundamental relation. The factorization of a multialgebra modulo its fundamental relation provides a functor into the category of universal algebras. The question that lead us to the results we will present is whether this functor commutes with the products. 2000 Mathematics Subject Classification: 08A05, 20N20, 08A99.

In this work, we attempt to investigate the connection between various types of ideals (for examples (m,n)-ideal, bi-ideal, interior-ideal, quasi-ideal, prime-ideal and maximal-ideal) of an ordered semigroup (S, ·,≤) and the corresponding, hyperideals of its EL-hyperstructure (S, ∗) (if exists). Moreover, we construct the class of EL-Γ-semihypergroup, associated to a partially-ordered Γsemigroup.

Wiki systems have developed over the past years as lightweight, community-editable, web-based hypertext systems. With the emergence of Semantic Wikis, these collections of interlinked documents have also gained a dual role as adhoc RDF [8] graphs. However, their roots lie at the limited hypertext capabilities of the World Wide Web [1]: embedded links, without support for composite objects or tr...

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.

EL–hyperstructures are hyperstructures constructed from singlevalued quasi-ordered semigroups. For some kinds of sets it is difficult to find a meaningful single-valued associative operation which could be used as a basis for constructing the EL–hyperstructure. In this paper we use the systematic approach to define it. We focus on multicomponent sets and briefly mention the n–ary context of the...

This paper studies the impact of intermediaries’ disappearance on firms’ access to sterling money market during first globalization era 1880-1914. We propose a new methodology assess substitutability in financial networks featuring higher-order structures (credit intermediation chains). represent network as hyperstructure and each credit chain hyperedge. approach allows us how failure intermedi...