Results 61 to 70 of about 263,497 (101)
Codes over the multiplicative hyperrings
Codes over hyperstructures have more codewords than codes over rings(or fields). It implies that they have higher rate than codes over rings (or fields). So, in this paper the codes over multiplicative hyperrings are studied. Linear codes and the cyclic codes over multiplicative hyperrings are constructed.
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Scheme theoretic tropicalization
In this paper, we introduce ordered blueprints and ordered blue schemes, which serve as a common language for the different approaches to tropicalizations and which enhances tropical varieties with a schematic structure.
Lorscheid, Oliver
core
Hypergroup Theory and Algebrization of Incidence Structures [PDF]
Dario Fasino, Domenico Freni
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Primary hyperideals of multiplicative hyperrings
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. Among many results in this study we give the primary hyperideal avodiancelemma.
Sevim, Esra Şengelen +2 more
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Multiple Hypo- and Hyper-Pigmentation
Zhang, Li-Wen, Wu, Juan
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The Witt construction in characteristic one and Quantization
We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs of a perfect semi-ring of characteristic one and an element strictly larger than one, to real Banach algebras.
Connes, Alain
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Merging N-hyperideals and J-hyperideals in one frame
The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the basis of the intersection of all n-ary prime hyperideals and the intersection
Anbarloei, Mahdi
core
(Weakly) $(\alpha,\beta)$-prime hyperideals in commutative multiplicative hypeering
Let $H$ be a commutative multiplicative hyperring and $\alpha, \beta \in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(\alpha,\beta)$-prime if $x^\alpha \circ y \subseteq P$ for $x,y \in H$ implies $x^\beta \subseteq P$ or $y \in P$.
Anbarloei, Mahdi
core
(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some ...
Anbarloei, Mahdi
core
On weakly S-primary hyyperideals
In this paper, our purpose is to introduce and study the notion of weakly n-ary S-primary hyperideals in a commutative Krasner (m,n)-hyperring.Comment: arXiv admin note: substantial text overlap with arXiv:2408.00430; text overlap with arXiv:2205.15318,
Anbarloei, Mahdi
core

