Results 11 to 20 of about 52,756 (165)

Finitely generated abelian groups of units [PDF]

, 2019
In 1960 Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers have been given to this question in particular cases.
Del Corso, Ilaria
core   +2 more sources

Free cyclic submodules in the context of the projective line [PDF]

, 2015
We discuss the free cyclic submodules over an associative ring $R$ with unity. Special attention is paid to those, which are generated by outliers. This paper describes all orbits of such submodules in the ring of lower triangular $3$x$3$ matrices over a
Bartnicka, Edyta, Matras, Andrzej
core   +2 more sources

Monotone-light factorisation systems and torsion theories [PDF]

, 2013
Given a torsion theory (Y,X) in an abelian category C, the reflector I from C to the torsion-free subcategory X induces a reflective factorisation system (E, M) on C. It was shown by A. Carboni, G.M. Kelly, G. Janelidze and R.
Everaert, Tomas, Gran, Marino
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

An iteration technique and commutativity of rings

International Journal of Mathematics and Mathematical Sciences, 1990
Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
H. A. S. Abujabal, M. S. Khan
doaj   +1 more source

Inclusion Scenarios and Conformational Flexibility of the SSRI Paroxetine as Perceived from Polymorphism of β-Cyclodextrin–Paroxetine Complex

Pharmaceuticals, 2022
Depression, a global mental health problem, is prevalent during the coronavirus disease 2019 (COVID-19) pandemic and can be efficiently treated by selective serotonin reuptake inhibitors (SSRIs).
Thammarat Aree
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

Centrally essential torsion-free rings of finite rank [PDF]

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020
It is proved that centrally essential rings, whose additive groups of finite rank are torsion-free groups of finite rank, are quasi-invariant but not necessarily invariant. Torsion-free Abelian groups of finite rank with centrally essential endomorphism rings are faithful.
Lyubimtsev, O. V., Tuganbaev, A. A.
openaire   +2 more sources

Some torsion theoretical characterizations of rings

International Journal of Mathematics and Mathematical Sciences, 1984
Rings whose torsion free modules are quasi-injective, quasi-projective or coflat have been characterized in the context of certain torsion theories.
Javed Ahsan
doaj   +1 more source

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three

Annales Mathematicae Silesianae, 2018
A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
doaj   +1 more source