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Algorithmic Modeling of Multiplicative Hyperrings and Their Cryptographic Applications

Hyperstructures, which have gained increasing importance in the field of Abstract Algebra in recent years, differ from classical algebraic structures in that the result of an operation can be a set rather than a single element. This property gives them the potential to produce multiple outcomes and offer a higher level of complexity This study focuses ...
Fatma Zehra Aytaş, Safiyye Kalemci, Elif Özel Ay   +2 more
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Prime and primary hyperideals in Krasner (m, n)-hyperrings

European journal of combinatorics (Print), 2013
R. Ameri, M. Norouzi
semanticscholar   +1 more source

Multiple Intracranial Aneurysms Associated with Hyper-IgE Syndrome

Internal Medicine, 2012
Takeuchi, Satoru, Wada, Kojiro, Otani, Naoki, Nawashiro, Hiroshi   +3 more
openaire   +3 more sources

Some Results On Prime And 2-Absorbing Primary C-Ideals Of Multiplicative Hyperring [PDF]

, 2018
YEŞİLOT, Gürsel, Aytaç, Neslihan
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Polynomials over multiplicative hyperrings

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract We build a polynomials multiplicative hyperring over a multiplicative hyperring A and identify properties of A which are necessary for this construction.
ROTA, Rosaria, PROCESI R.
exaly   +4 more sources

On 2-absorbing and 2-absorbing primary hyperideals of a multiplicative hyperring [PDF]

Cogent Mathematics, 2017
Let R be a multiplicative hyperring. In this paper, we study 2-absorbing hyperideals which are a generalization of prime hyperideals and introduce the concept of 2-absorbing primary hyperideal which is a generalization of primary hyperideal.

exaly   +3 more sources

The hyperring of adèle classes [PDF]

Journal of Number Theory, 2011
TextWe show that the theory of hyperrings, due to M. Krasner, supplies a perfect framework to understand the algebraic structure of the adèle class space HK=AK/K× of a global field K. After promoting F1 to a hyperfield K, we prove that a hyperring of the
Caterina Consani, Alain Connes
exaly   +3 more sources

Hypervaluation on multiplicative ternary hyperring

Asian-European Journal of Mathematics
In this paper, we present an [Formula: see text]-hypervaluation on a multiplicative ternary hyperring onto an ordered (multiplicative) abelian group. We examine various properties of ideals within the ternary hyperring associated with this valuation map.
Sumana Pal, Jayasri Sircar, Pinki Mondal
openaire   +2 more sources

On graded fuzzy n-absorbing hyperideals in graded multiplicative hyperrings

Soft Computing, 2023
Peyman Ghiasvand
exaly   +2 more sources

Quasi-hyperideals in multiplicative hyperrings

2002
A subring Q of a ring A is called a quasi-ideal of A if AQ intersection QA Q where AQ [QA] denotes the set of all finite sums of the form sigma aiqu[sigma qiai] where ai A and qi Q. Quasi-ideals are a generalization of left ideals and right ideals. Quasi-ideals in rings have long been studied and a lot of interesting theorems relating to quasi-ideals ...
Jongkol Tumsoun
openaire   +2 more sources