Zobrazeno 1 - 10
of 2 298
pro vyhledávání: '"semiprime ring"'
Autor:
Marcen Benjamin, Vukman Joso
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 1104-1119 (2024)
In this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}. Suppose there exists an additive mapping D:R→RD:R\to R satisfy
Externí odkaz:
https://doaj.org/article/bb90c90fcf664b6e92f7090e1d1bd8ea
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 4109-4117 (2024)
Let $ \mathcal{A} $ be a $ (p+q)! $-torsion free semiprime ring. We proved that if $ \mathcal{H}, \mathcal{D} : \mathcal{A}\to \mathcal{A} $ are two additive mappings fulfilling the algebraic identity $ 2\mathcal{H}(a^{p+q}) = \mathcal{H}(a^p) a^q+ a
Externí odkaz:
https://doaj.org/article/e2c208914f3e4a38877366c17474b0f0
Publikováno v:
Axioms, Vol 13, Iss 10, p 717 (2024)
This paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse d
Externí odkaz:
https://doaj.org/article/f61b70a1fe35437bb6775fd7c82be8dc
Publikováno v:
Axioms, Vol 13, Iss 10, p 669 (2024)
This paper investigates the relationship between the commutativity of rings and the properties of their multiplicative generalized derivations. Let F be a ring with a semiprime ideal Π. A map ϕ:F→F is classified as a multiplicative generalized de
Externí odkaz:
https://doaj.org/article/c2010588ff784de38573759cec2240a0
Publikováno v:
Axioms, Vol 13, Iss 7, p 448 (2024)
We introduce center-like subsets Z∘*(A,d),Z∘**(A,d), where A is the ring and d is the multiplicative derivation. In the following, we take a new derivation for the center-like subsets existing in the literature and establish the relations between
Externí odkaz:
https://doaj.org/article/cdf6027cd8b1432b97df5c3f113051fc
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 17208-17228 (2023)
The present paper aims to investigate the containment of nonzero central ideal in a ring $ \mathcal{R} $ when the trace of symmetric $ n $-derivations satisfies some differential identities. Lastly, we prove that in a prime ring $ \mathcal{R} $ of su
Externí odkaz:
https://doaj.org/article/1629741c650a40239c2f3d1c11ec81d7
Akademický článek
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Autor:
Guo Junying, Guo Xiaojiang
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1066-1081 (2022)
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively). Sufficient and necessary conditions are obtained for a ge
Externí odkaz:
https://doaj.org/article/7529196b2b2541409940a4f8953b1e4f
Autor:
Mohammed Khalid Shahoodh
Publikováno v:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 35, Iss 2, Pp 108-116 (2022)
Ring theory is one of the influential branches of abstract algebra. In this field, many algebraic problems have been considered by mathematical researchers who are working in this field. However, some new concepts have been created and developed to p
Externí odkaz:
https://doaj.org/article/e624f2d923c04fe0b5c2ae0e2f557317
Akademický článek
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