A Realization of Hyperrings

By Bijan Davvaz, A. Salasi. 2006

86 citations recorded by the source corpus.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/55e58d718f9e3e9ef2a5814db5f4698b9790f8ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Bijan Davvaz
2. Jaiung Jun
3. Thomas Vougiouklis
4. Alain Connes

Citations in the corpus

• Algebraic Geometry Over Hyperrings (2015, background): “(cf. [12, § 3]) Let R be a hyperring and S be a (multiplicative) submonoid of R .”
• The hyperring of adèle classes (2011, background): “also [11]), H embeds in its hyperfield of fractions.”
• A Generalization of n-Ary Algebraic Systems (2009, background): “…theory has been studied in the following decades and nowadays by many mathematicians, for example see Corsini (1996), Corsini and Leoreanu (2000), Davvaz and Salasi (2006), Karimian and Davvaz (2006), Davvaz and Karimian (2007), Davvaz (2007), De Salvo (1995), Leoreanu and Davvaz (2008), and…”
• Commutative Rings Obtained from Hyperrings (H v -rings) with α*-Relations (2007, background): “The Krasner hyperrings were studied by many authors, for example see Davvaz and Salasi ( 2006 ), Davvaz ( 2004 ), and Rota ( 1996 ).”