Results 81 to 90 of about 306 (150)

Hyper-Connections

CoRR
We present hyper-connections, a simple yet effective method that can serve as an alternative to residual connections. This approach specifically addresses common drawbacks observed in residual connection variants, such as the seesaw effect between gradient vanishing and representation collapse.
Defa Zhu, Hongzhi Huang, Zihao Huang, Yutao Zeng, Yunyao Mao, Banggu Wu, Qiyang Min, Xun Zhou   +7 more
openaire   +4 more sources

Generalized fuzzy hyperideals of hyperrings [PDF]

, 2008
The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalized concept of the quasi-coincidence of a fuzzy point with a fuzzy set.
Zhan, Jianming, Davvaz, Bijan, Shum, K.P.   +2 more
core   +1 more source

Codes Over Hyperfields

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices.
Atamewoue Surdive, Ndjeya Selestin, Strüngmann Lutz, Lele Celestin   +3 more
doaj   +1 more source

Height of prime hyperideals in Krasner hyperrings

, 2017
Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion.
Hashem Bordbar, Irina Cristea
core   +1 more source

A Hyperring RSA-AES Hybrid Encryption Scheme (HRA-HES): Design, Security Analysis, and Performance Evaluation for Post-Quantum Resilience

NTU Journal of Engineering and Technology
The fast growth of quantum computing puts widely used public-key cryptosystems like RSA and Elliptic Curve Cryptography (ECC) at risk because Shor's algorithm can quickly factor integers and find discrete logarithms.
Hajar Mujeeb Alkhalidy, Nushwan Yousif Baithoon Al-Nakash, Najma F.Fadail   +2 more
doaj   +1 more source

The Hyper-Flute

, 2003
Description
openaire   +2 more sources

Hyper RL-ideals in hyper residuated lattices

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them. Next, we characterize the (strong) hyper RL-ideals generated by a subset and give some characterizations of the lattice of these hyper RL-ideals.
openaire   +2 more sources

(weakly) (s,n)-closed hyperideals [PDF]

, 2023
A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
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

NEW FUNDAMENTAL RELATIONS IN HYPERRINGS AND THE CORRESPONDING QUOTIENT STRUCTURES [PDF]

Journal of Algebraic Systems
‎‎In this article‎, ‎we introduce and analyze the smallest‎ ‎equivalence binary relation $\chi ^{*}$ on a hyperring $R$ such‎ that the quotient $R/\chi ^{*}$‎, ‎the set of all equivalence‎ ‎classes‎, ‎is a commutative ring with identity and of ...
Peyman Ghiasvand, Saeed Mirvakili, Bijan Davvaz   +2 more
doaj   +1 more source