Results 71 to 80 of about 46,642 (242)

On Algebraic and Definable Closures for Theories of Abelian Groups

Известия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
wiley   +1 more source

Noncommutative resolutions and CICY quotients from a non-Abelian GLSM

SciPost Physics
We discuss a one-parameter non-Abelian GLSM with gauge group $(U(1)× U(1)× U(1))\rtimes\mathbb{Z}_3$ and its associated Calabi-Yau phases. The large volume phase is a free $\mathbb{Z}_3$-quotient of a codimension $3$ complete intersection of degree-$(1,1,
Johanna Knapp, Joseph McGovern
doaj   +1 more source

Localizations of torsion-free abelian groups II

Journal of Algebra, 2005
A homomorphism \(\alpha\colon A\to B\) between Abelian groups \(A,B\) is called a localization of \(A\) if every homomorphism \(\varphi\) from \(A\) to \(B\) has a unique extension to an endomorphism \(\psi\) of \(B\) in the sense that \(\varphi=\psi\circ\alpha\).
openaire   +2 more sources

Separable torsion-free abelian E∗-groups

Journal of Pure and Applied Algebra, 1998
The first half of this paper characterizes the torsion-free separable abelian groups \(G\) whose endomorphism semigroup \(E(G)^*\) admits a unique addition; that is, the endomorphism ring \(E(G)\) is isomorphic to any ring \(S\) for which \(E(G)^*\) is isomorphic to \(S^*\).
Lubimcev, O., Sebeldin, A., Vinsonhaler, C.   +2 more
openaire   +1 more source

The flat cover conjecture for monoid acts

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley   +1 more source

Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order [PDF]

, 2023
Gianluca Paolini, Saharon Shelah
openalex   +1 more source

Degrees of orders on torsion-free Abelian groups

Annals of Pure and Applied Logic, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kach, Asher M., Lange, Karen, Solomon, Reed   +2 more
openaire   +2 more sources

Minimal projective varieties satisfying Miyaoka's equality

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai, Shin‐ichi Matsumura, Niklas Müller   +2 more
wiley   +1 more source

Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Le Matematiche, 2006
Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.
Peter Danchev
doaj