Results 11 to 20 of about 131,023 (367)
How to categorify the ring of integers localized at two [PDF]
Quantum Topology, 2017 We construct a triangulated monoidal Karoubi closed category with the Grothendieck ring, naturally isomorphic to the ring of integers localized at two.
Mikhail Khovanov, Tian Yin
openalex +3 more sources
Definability and decidability for rings of integers in totally imaginary fields [PDF]
Bulletin of the London Mathematical Society, 2023 We show that the ring of integers of Qtr${{\mathbb {Q}^{\operatorname{tr}}}}$ is existentially definable in the ring of integers of Qtr(i)${{\mathbb {Q}^{\operatorname{tr}}}}(i)$ , where Qtr${{\mathbb {Q}^{\operatorname{tr}}}}$ denotes the field of all ...
Caleb Springer
openalex +3 more sources
The functor $K_2$ for the ring of integers of a number field [PDF]
, 1982 Jerzy Browkin
openalex +2 more sources
The First Zagreb Index of the Zero Divisor Graph for the Ring of Integers Modulo Power of Primes
Malaysian Journal of Fundamental and Applied Sciences, 2023 Let be a simple graph with the set of vertices and edges. The first Zagreb index of a graph is defined as the sum of the degree of each vertex to the power of two. Meanwhile, the zero divisor graph of a ring , denoted by , is defined as a graph with its
G. Semil Ismail +3 more
semanticscholar +1 more source
On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n
Mathematics, 2021 Given a commutative ring R with identity 1≠0, let the set Z(R) denote the set of zero-divisors and let Z*(R)=Z(R)∖{0} be the set of non-zero zero-divisors of R. The zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is Z*(R) and
B. Rather +3 more
semanticscholar +1 more source
Arabian Journal of Mathematics, 2021 Following the work of Gaborit et al. (in: The international workshop on coding and cryptography (WCC 13), 2013) defining LRPC codes over finite fields, Renner et al.
Franck Rivel Kamwa Djomou +2 more
semanticscholar +1 more source
Arithmetical definitions in the ring of integers [PDF]
Proceedings of the American Mathematical Society, 1951 R. Robinson
openaire +2 more sources
Euclidean Rings of Algebraic Integers [PDF]
Canadian Journal of Mathematics, 2004 AbstractLet K be a finite Galois extension of the field of rational numbers with unit rank greater than 3. We prove that the ring of integers of K is a Euclidean domain if and only if it is a principal ideal domain. This was previously known under the assumption of the generalized Riemann hypothesis for Dedekind zeta functions.
Harper, Malcolm, Murty, M. Ram
openaire +2 more sources
Implicit linear difference equations over a non-Archi-medean ring
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value.
Anna Goncharuk
doaj +1 more source
On (m, k) -type elements in the ring of integers modulo n [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 An element a in a ring R is said to be of (m, k)-type if a m = a k where m and k are positive integers with m > k ≥ 1. Let Xn(m, k) be the set of all (m, k)-type elements, X * n(m, k) be the set of all nonzero (m, k)-type elements, and Sn(m, k) be ...
Phoschanun Ratanaburee +2 more
doaj +1 more source