In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient KG of a field K by some subgroup G of its multiplicative group
It is well known that a homomorphism f of a field K into a field K' is necessarily an injection. In ...
A few results are given concerning hypergroups of type C on the right, then a new class of hypergrou...
RésuméLetkbe a number field,Okits ring of integers,Γa nonabelian metacyclic group of orderlq, wherel...
The hyperfield came into being due to a mathematical necessity that appeared during the study of the...
Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, b...
Text. We show that the theory of hyperrings, due to M. Krasner, supplies a perfect framework to unde...
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebr...
The quotient class of a non-archimedean field is the set of cosets with respect to all of its additi...
A domain R is called a maximal non-Jaffard subring of a field L if R [contained in] L, R is not a Ja...
Let K/k be a field extension of finite degree, and let E and F be intermediate fields. We are intere...
AbstractWe prove at Theorem 1 that any non-elementary hyperbolic group G possesses a non-trivial fin...
AbstractLet P(k) denote the set of equivalence classes of nonsingular pencils of quadratic forms of ...
In this thesis we develop a framework for constructing quotients of varieties by actions of linear a...
In this paper we continue the investigation of matroidal hyperstructures, introduced in [8], [9], [1...
International audienceAbstract Inspired by the work of Cherry, we introduce and study a new notion o...
It is well known that a homomorphism f of a field K into a field K' is necessarily an injection. In ...
A few results are given concerning hypergroups of type C on the right, then a new class of hypergrou...
RésuméLetkbe a number field,Okits ring of integers,Γa nonabelian metacyclic group of orderlq, wherel...
The hyperfield came into being due to a mathematical necessity that appeared during the study of the...
Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, b...
Text. We show that the theory of hyperrings, due to M. Krasner, supplies a perfect framework to unde...
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebr...
The quotient class of a non-archimedean field is the set of cosets with respect to all of its additi...
A domain R is called a maximal non-Jaffard subring of a field L if R [contained in] L, R is not a Ja...
Let K/k be a field extension of finite degree, and let E and F be intermediate fields. We are intere...
AbstractWe prove at Theorem 1 that any non-elementary hyperbolic group G possesses a non-trivial fin...
AbstractLet P(k) denote the set of equivalence classes of nonsingular pencils of quadratic forms of ...
In this thesis we develop a framework for constructing quotients of varieties by actions of linear a...
In this paper we continue the investigation of matroidal hyperstructures, introduced in [8], [9], [1...
International audienceAbstract Inspired by the work of Cherry, we introduce and study a new notion o...
It is well known that a homomorphism f of a field K into a field K' is necessarily an injection. In ...
A few results are given concerning hypergroups of type C on the right, then a new class of hypergrou...
RésuméLetkbe a number field,Okits ring of integers,Γa nonabelian metacyclic group of orderlq, wherel...