Results 71 to 80 of about 165 (126)

Hyper RL-ideals in hyper residuated lattices

open access: yesDiscussiones 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

Multiplicative hyperring of fractions and coprime hyperideals

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj   +1 more source

M-POLYSYMMETRICAL HYPERRINGS

open access: yesRatio Mathematica, 1997
In this paper a special case of canonical polysymmetrical hyperrings, the M-Polysymmetrical hyperrings, are studied and investigated in detail. Certain methods of their construction from rings are presented and a new class of hyperstructures, the M ...
John Mittas, Constantine N. Yatras
doaj  

On d-prime hyperideals of hyperrings [PDF]

open access: yesJournal of Hyperstructures
For Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring.
Maryam Akhoundi, Saber Omidi
doaj   +1 more source

Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras

open access: yesEuropean Journal of Pure and Applied Mathematics, 2019
Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan   +1 more
openaire   +2 more sources

Normal hyperideals in Krasner (m, n)-hyperrings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Using a new definition, with respect to [21], for normal hyperideals in Krasner (m, n)-hyperrings, we show that the corresponding quotient structures are (m, n)-rings.
Norouzi Morteza   +2 more
doaj   +1 more source

On S-2-Prime Hyperideals of Commutative Hyperrings

open access: yesMathematics
This paper introduces the notion of S-2-prime hyperideals, providing a unifying generalization of 2-prime and S-prime hyperideals in multiplicative hyperrings.
Elif Tüysüz   +3 more
doaj   +1 more source

Hyper-Connections

open access: yesCoRR
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   +7 more
openaire   +3 more sources

OVER THE CONSTRUCTION OF AN HYPERSTRUCTURE OF QUOTIENTS FOR A MULTIPLICATIIVE HYPERRING

open access: yesRatio Mathematica, 1997
In this paper we construct a weak hyperfield of quotients for a class of multiplicative hyperrings.
R. Procesi, R. Rota
doaj  

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