Results 101 to 110 of about 779 (169)

On d-prime hyperideals of hyperrings [PDF]

Journal 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

European 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, Sergio R. Canoy, Jr.   +1 more
openaire   +2 more sources

Normal hyperideals in Krasner (m, n)-hyperrings

Analele 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, Ameri Reza, Leoreanu-Fotea Violeta   +2 more
doaj   +1 more source

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   +3 more sources

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

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

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

Study of Gamma-hyperrings by fuzzy hyperideals with respect to a t-norm

, 2019
In this paper, we study the Gamma-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal Gamma-hyperrings in and
Naka, Krisanthi, Hila, Kostaq, ERSOY, Bayram Ali, ONAR, Serkan   +3 more
core   +1 more source

Permuting tri-derivations on hyperrings

, 2020
In this paper we describe permuting tri-derivations in Krasner hyperrings. In this way we derive some important properties of permuting tri-derivations.
Ünal, Seda Oğuz
core  

Extended and generalized centroid of hyperrings

, 2022
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez dört bölümden oluşmaktadır: Birinci bölümde, hiper halka teorisindeki tezde kullanılan temel tanım ve teoremler örneklerle verilmiştir.
Yılmaz, Damla
core  

Primary hyperideals of multiplicative hyperrings

, 2018
In this article, we study prime, primary, C-hyperideals of multiplicative hyperrings in the senseof Rota [14]. Prime hyperideal avodiance lemma was proved in [4]. We mainly study union of primaryhyperideals in hyperring.
Davvaz, Bijan, Sevim, Esra Şengelen, Ersoy, Bayram Ali   +2 more
core