Results 11 to 20 of about 8,162 (244)

Commutativity with Derivations of Semiprime Rings

Discussiones Mathematicae - General Algebra and Applications, 2020
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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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
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Finite dimensional torsion free rings [PDF]

Pacific Journal of Mathematics, 1971
In the class of rings with zero singular left ideal, several characterizations of rings with finite left Goldie dimension are given. They include: the direct limit of torsion free modules is torsion free; the direct limit of torsion free injective modules is injective; each absolutely pure torsion free module is injective; each module has a unique (up ...
openaire   +2 more sources

A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS [PDF]

Journal of Algebraic Systems, 2014
In this paper, by using elementary tools of commutative algebra,we prove the persistence property for two especial classes of rings. In fact, thispaper has two main sections.
Mehrdad Nasernejad
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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
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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
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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
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On λ-rings and topological realization

International Journal of Mathematics and Mathematical Sciences, 2006
It is shown that most possibly truncated power series rings admit uncountably many filtered λ-ring structures. The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also ...
Donald Yau
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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
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Commutativity theorems for rings with constraints on commutators

International Journal of Mathematics and Mathematical Sciences, 1991
In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
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