Results 31 to 40 of about 40,225 (280)

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

Vertex rings and their Pierce bundles

, 2017
In part I we introduce vertex rings, which bear the same relation to vertex algebras (or VOAs) as commutative, associative rings do to commutative, associative algebras over the complex numbers.
Mason, Geoffrey
core   +1 more source

An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]

, 2011
The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core   +4 more sources

Radical Classes Closed Under Products

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
This is a survey of what is known about Kurosh-Amitsur radical classes which are closed under direct products. Associative rings, groups, abelian groups, abelian ℓ-groups and modules are treated.
Gardner Barry
doaj   +1 more source

ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
doaj   +1 more source

Two-Local derivations on associative and Jordan matrix rings over commutative rings

, 2017
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
core   +1 more source

Associated graded rings and connected sums [PDF]

Czechoslovak Mathematical Journal, 2019
arXiv admin note: text overlap with arXiv:1406 ...
Ananthnarayan, H., Celikbas, Ela, Laxmi, Jai, Yang, Zheng   +3 more
openaire   +3 more sources

A class of rings which are algebric over the integers

International Journal of Mathematics and Mathematical Sciences, 1979
A well-known theorem of N. Jacobson states that any periodic associative ring is commutative. Several authors (most notably Kaplansky and Herstein) generalized the “periodic polynomial” condition and were still able to conclude that the rings under ...
Douglas F. Rall
doaj   +1 more source

Characterizations of non-associative rings by the properties of their fuzzy ideals

Journal of Taibah University for Science, 2019
In this paper, we extend the characterizations of Kuroki [Regular fuzzy duo rings. Inform Sci. 1996;96:119–139], by initiating the concept of fuzzy left (resp.
Nasreen Kausar, Badar ul Islam, Muhammad Yasar Javaid, Syed Amjad Ahmad, Umer Ijaz   +4 more
doaj   +1 more source

Clear rings and clear elements

Математичні Студії, 2021
An element of a ring $R$ is called clear if it is a sum of a unit-regular element and a unit. An associative ring is clear if each of its elements is clear. In this paper we defined clear rings and extended many results to a wider class.
B. V. Zabavsky, O. V. Domsha, O. M. Romaniv   +2 more
doaj   +1 more source