Results 91 to 100 of about 354 (175)
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
About the Entropy of a Natural Number and a Type of the Entropy of an Ideal. [PDF]
Entropy (Basel), 2023 Minculete N, Savin D.
europepmc +1 more source
, 2013 This research was presented during the 2012 International Symposium on Information Theory and its Applications (ISITA2012) in Honolulu, USA.Gaussian integer is one of basic algebraic integers.
Mizushima Daichi +7 more
core +1 more source
An Algebraic Approach to Number Theory using Unique Factorization
, 2013 Though it may seem non-intuitive, abstract algebra is often useful in the study of number theory. In this thesis, we explore some uses of abstract algebra to prove number theoretic statements.
Sullivan, Mark
core
The elementary theory of e-free PAC domains
, 2000 We prove that the theory of all sentences in the language of rings which are true in Z̃∩Q̃(σ) for almost all σ∈G(Q)e is decidable. Here Q̃ is the field of all algebraic numbers; Z̃ is the ring of all algebraic integers; G(Q) is the absolute Galois group ...
Razon, Aharon, Aharon Razon
core +1 more source
New approach to Arakelov geometry [PDF]
, 2007 This work is dedicated to a new completely algebraic approach to Arakelov geometry, which doesn't require the variety under consideration to be generically smooth or projective.
Durov, N., Durov, Nikolai
core
Curves over number fields and their rings of integers.
, 2013 In this document, the author collected his work that ranges through the years 2006-2013. The common theme that occurs in its five separate parts is that of families of algebraic curves defined over the rational numbers with points over a number field or ...
Zinevičius, Albertas,
core
Quasi-perfect Geometrically Uniform Codes Derived From Graphs Over Gaussian Integer Rings
, 2015 In this paper we present a generalization of the perfect codes derived from the quotient rings of Gaussian integers. We call this class of codes quasi-perfect, which in addition to preserving the property of being geometrically uniform codes they are ...
Quilles C., Palazzo Jr. R.
core +1 more source
, 2017 There are many examples of rings of algebraic integers with undecidable first order theory. Let K be an algebraic extension of Q. We denote by O(K) the ring of algebraic integers in K.
Gillibert, Pierre
core
On the Galois cohomology group of the ring of integers in an algebraic number field [PDF]
Acta Arithmetica, 1963 openaire +1 more source