Zobrazeno 1 - 10
of 5 666
pro vyhledávání: '"NONCOMMUTATIVE rings"'
Autor:
I. N. Herstein
Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, sem
Autor:
Eggink, A.
We consider Hilbert's tenth problem for two families of noncommutative rings. Let $K$ be a field of characteristic $p$. We start by showing that Hilbert's tenth problem has a negative answer over the twisted polynomial ring $K\{\tau\}$ and its left d
Externí odkaz:
http://arxiv.org/abs/2410.03485
Publikováno v:
Journal of Mathematics, 2024, 1707271, 10 pages, 2024
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their charac
Externí odkaz:
http://arxiv.org/abs/2407.12590
We study $2\times 2$ matrices over noncommutative rings with anti-involution, with a special focus on the symplectic group $\mathrm{Sp}_2(\mathcal{A},\sigma)$. We define traces and determinants of such matrices and use them to prove a Cayley Hamilton
Externí odkaz:
http://arxiv.org/abs/2402.19300
Autor:
Abouhalaka, Alaa1 (AUTHOR) alaa1aclids@gmail.com, Fındık, Şehmus1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Apr2023, Vol. 11 Issue 8, p1917. 12p.