Results 21 to 30 of about 5,453 (309)

Nondefinability of Rings of Integers in Most Algebraic Fields [PDF]

Notre Dame Journal of Formal Logic, 2021
We show that the set of algebraic extensions $F$ of $\mathbb{Q}$ in which $\mathbb{Z}$ or the ring of integers $\mathcal{O}_F$ are definable is meager in the set of all algebraic extensions.
Philip Dittmann, Arno Fehm
openaire   +3 more sources

Formal groups over sub-rings of the ring of integers of a multidimensional local field [PDF]

, 2019
In the work we construct so-called convergence rings for the ring of integers of a multidi-mensional local field. The convergence ring is a sub-ring of the ring of integers having the property that any power series with coefficients from the sub-ring ...
Vostokova, Regina P., Vostokov, Sergey V., Madunts, Aleksandra I.   +2 more
core   +1 more source

Endomorphisms and Product Bases of the Baer-Specker Group

International Journal of Mathematics and Mathematical Sciences, 2009
The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers.
E. F. Cornelius
doaj   +1 more source

Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings , Q∪I, and [PDF]

Neutrosophic Sets and Systems, 2018
The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed.
Vasantha W.B, Ilanthenral Kandasamy, Florentin Smarandache   +2 more
doaj   +1 more source

Liapunov Stability and the ring of P-adic integers [PDF]

, 2008
It is well-known that stable Cantor sets are topologically conjugate to adding machines. In this work we show are also conjugate to an algebraic object, the ring of P−adic integers with respect to group tramnslation.
Buescu, Jorge, Jorge Buescu
core   +1 more source

Approximatting rings of integers in number fields [PDF]

Journal de théorie des nombres de Bordeaux, 1994
In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients.
Lenstra, H.W., Buchmann, J.A.
openaire   +2 more sources

Torsion-free groups with indecomposable holonomy group. I [PDF]

, 2001
We study the torsion-free generalized crystallographic groups with indecomposable holonomy group which is isomorphic to either C-p, or C-p x C ...
Bódi, Viktor, P. M. Gudivok, V. A. Bovdi, Gudivok, P. M., Rudko, V. P., V. P. Rudko   +5 more
core   +1 more source

On Generation of the Groups $SL_n(\mathbb{Z}+i\mathbb{Z})$ and $PSL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of Which Commute

Известия Иркутского государственного университета: Серия "Математика", 2022
M. C. Tamburini and P. Zucca proved that the special linear group of dimension greater than 13 over the ring of Gaussian integers is generated by three involutions, two of which commute (J. of Algebra, 1997).
R. I. Gvozdev, Ya.N. Nuzhin, T. B. Shaipova   +2 more
doaj   +1 more source

The Group Ring of SL2(p2) over thep-adic Integers [PDF]

, 1998
This paper describes the ring-theoretic structure of the group rings ofSL2(p2) over thep-adic ...
Nebe, Gabriele
core   +1 more source

Rings of Multisets and Integer Multinumbers [PDF]

Mathematics, 2022
In the paper, we consider a ring structure on the Cartesian product of two sets of integer multisets. In this way, we introduce a ring of integer multinumbers as a quotient of the Cartesian product with respect to a natural equivalence. We examine the properties of this ring and construct some isomorphisms to subrings of polynomials and Dirichlet ...
Yuriy Chopyuk, Taras Vasylyshyn, Andriy Zagorodnyuk   +2 more
openaire   +2 more sources