Results 11 to 20 of about 33,430 (215)

Torsion--free abelian groups revisited (2) [PDF]

Rendiconti del Seminario Matematico della Università di Padova, 2020
Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut( G ) on the set of maximal independent subsets of
Phill Schultz
  +7 more sources

Annihilator equivalence of torsion-free abelian groups [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992
AbstractWe define an equivalence relation on the class of torsion-free abelian groups under which two groups are equivalent ifevery pure subgroup of one has a non-zero image in the other, and each has a non-zero image in every torsion-free factor of the other.We study the closure properties of the equivalence classes, and the structural properties of ...
Phill Schultz, C. Vinsonhaler, W. Wickless   +2 more
openalex   +3 more sources

On Torsion-Free Abelian Groups and Lie Algebras [PDF]

Proceedings of the American Mathematical Society, 1958
It is known that many of the classes of simple Lie algebras of prime characteristic of nonclassical type have simple infinite-dimensional analogues of characteristic zero (see, for example, [4, p. 518]). We consider here analogues of those algebras which are defined by a modification of the definition of a group algebra.
Richard E. Block
openalex   +3 more sources

Local Abelian Torsion-Free Groups [PDF]

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Kh. Farukshin
openalex   +2 more sources

Regularity in torsion-free abelian groups [PDF]

Czechoslovak Mathematical Journal, 1992
Eine Untergruppe \(B\) einer torsionsfreien abelschen Gruppe \(A\) heißt regulär (kritisch regulär) falls \(t^ B(b) = t^ A(b)\) für alle \(b\in B\) (falls für alle Typen \(t\) gilt: \(B(t) \setminus B^*(t)_ * \subset A(t)\setminus A^*(t)_ *\)). Die Untergruppe \(B\) heißt stark regulär, falls \(B\) eine reguläre und eine kritisch reguläre Untergruppe ...
Müller, Edgar, Mutzbauer, Otto
openaire   +2 more sources

Types in torsion free Abelian groups [PDF]

Communications in Algebra
In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in these groups and classify separable torsion free Abelian groups up to isotypicity.
E. I. Bunina
  +6 more sources

The group of endotrivial modules for the symmetric and alternating groups. [PDF]

, 2010
We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Carlson, Jon, Hemmer, Dave, Mazza, Nadia
core   +1 more source

Semi-localizations of semi-abelian categories [PDF]

, 2015
A semi-localization of a category is a full reflective subcategory with the property that the reflector is semi-left-exact. In this article we first determine an abstract characterization of the categories which are semi-localizations of an exact Mal ...
Gran, Marino, Lack, Stephen
core   +1 more source

Structure of Finite-Dimensional Protori

Axioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

Discussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source