Results 81 to 90 of about 779 (152)

From monoids to hyperstructures: in search of an absolute arithmetic

, 2010
We show that the trace formula interpretation of the explicit formulas expresses the counting function N(q) of the hypothetical curve C associated to the Riemann zeta function, as an intersection number involving the scaling action on the adele class ...
Connes, Alain, Consani, Caterina
core  

A Note on Intuitionistic Fuzzy Hypervector Spaces

, 2010
The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also
Roy, Sanjay, Samanta, T. K.
core  

Transitivity of the εm-relation on (m-idempotent) hyperrings

Open Mathematics, 2018
On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
doaj   +1 more source

Fundamental relation on m-idempotent hyperrings

Open Mathematics, 2017
The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
doaj   +1 more source

A Note on the w-Pseudo-Orders in Ordered (Semi)Hyperrings [PDF]

, 2021
Xiaoli Qiang, Hao Guan, Hossein Rashmanlou   +2 more
openalex   +1 more source

On S-prime hyperideals in multiplicative hyperrings [PDF]

, 2021
Peyman Ghiasvand, Farkhondeh Farzalipour
openalex   +1 more source

On the borderline of fields and hyperfields, part Ⅱ – Enumeration and classification of the hyperfields of order 7

AIMS Mathematics
The quotient hyperfield is a landmark on the borderline of fields and hyperfields. In this paper, which is the second part of our previously published paper, all the hyperfields of order 7 are constructed, enumerated, and presented.
Christos G. Massouros, Gerasimos G. Massouros   +1 more
doaj   +1 more source

Scheme theoretic tropicalization

, 2019
In this paper, we introduce ordered blueprints and ordered blue schemes, which serve as a common language for the different approaches to tropicalizations and which enhances tropical varieties with a schematic structure.
Lorscheid, Oliver
core  

Classical prime subhypermodules and related extensions [PDF]

Categories and General Algebraic Structures with Applications
In this paper, we extend the notion of prime subhypermodulesto $n$-ary classical prime, $n$-ary weakly classical prime and $n$-ary $\phi$-classical prime subhypermodules of an $(m,n)$-hypermodule over a commutative Krasner $(m,n)$-hyperring.
Mahdi Anbarloei
doaj   +1 more source

Recent results in hyperring and hyperfield theory

International Journal of Mathematics and Mathematical Sciences, 1988
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the “sum” of two elements is a subset of the structure.
Anastase Nakassis
doaj   +1 more source