Results 41 to 50 of about 306 (150)

Regular local hyperrings and hyperdomains [PDF]

, 2022
This paper falls in the area of hypercompositional algebra. In particular, it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
Cristea, Irina, Bordbar, Hashem, Rasovic, Sanja   +2 more
core   +1 more source

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

Journal of Algebraic Systems, 2019
An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
doaj   +1 more source

Hyper-twist [PDF]

Digital Creativity, 2009
In this paper, we introduce ‘hyper-twist’, a distortion technique for the production of abstract artistic forms (see Figure 1). It is developed via exploiting the theoretical feature of deforming an infinite space filled with a hyper-elastic media.
Jian Chang 0001, Xiaosong Yang, Jian J. Zhang 0001   +2 more
openaire   +2 more sources

On Hyperideals of Multiplicative Hyperrings

Cumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +1 more source

An introduction to the theory of algebraic multi-hyperring spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Hila Kostaq, Davvaz Bijan
doaj   +1 more source

A GENERALIZATION OF PRIME HYPERIDEALS [PDF]

Journal of Algebraic Systems, 2020
‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎ ‎of prime hyperideal‎.
M. Anbarloei
doaj   +1 more source

Krasner (m,n)-hyperring of fractions

, 2022
The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m,n)-hyperrings are a generalization of (m,n)-ring. Let R be a commutative Krasner (m,n)-hyperring. The
Anbarloei, M.
core  

New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

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

Composition hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
doaj   +1 more source