… we study (general) commutative hyperrings as a generalization of classes of hyperrings as
well as … In this section, by a hyperring we mean a commutative general hyperring with the zero …

… commutative ring. Therefore we introduce a new strongly regular equivalence relation on
hyperrings (… of quotients is a commutative ring. Some properties of such rings are investigated. …

… of hyperrings, develop the hyperideal theory for hyperrings, introduce … hyperrings in
general, we will assume from here onward that all of our hyperrings are commutative hyperrings…

… It follows from the result (Proposition 2.15) of Connes and Consani, one can naturally
associate a hyperring to a commutative ring. By using this, we prove the following: …

… By a hyperring we mean a Krasner hyperring, … a hyperring and by considering these notions
we obtain some results. We define hyperring of fractions and hyper-valuation on a hyperring. …

… of hyperrings [1]. If only the addition + is hyperoperation and the multiplication · is usual
operation, then we say that R is an additive hyperring… that R is a multiplicative hyperring [2]. Rota (…

… in terms of commutative hyperrings. We introduce n-hyperideals in commutative hyperrings
and … Based on new definitions and theorems, we obtain some results in the hyperring theory. …

… R/α* is a commutative ring. In this paper we introduce on hyperrings the relation ξ* m, which
is smaller than α*, and show that, on a particular class of m-idempotent hyperrings R, it is the …

… This result applies to the adèle class space which thus inherits the structure of a hyperring
… The category of commutative hyperring extensions of K is inclusive of: commutative algebras …