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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
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Semigroup gradings on associative rings

Advances in Applied Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuri A. Bahturin, Mikhail V. Zaicev
openaire   +2 more sources

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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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
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Nonassociative Algebras, Rings and Modules over Them

Mathematics, 2023
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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Smarandache Non-Associative (SNA-) rings [PDF]

, 2005
In this paper we introduce the concept of Smarandache non-associative rings, which we shortly denote as SNA-rings as derived from the general definition of a Smarandache Structure (i.e., a set A embedded with a week structure W such that a proper subset ...
Vasantha Kandasamy, W.B.
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Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under‎ ‎excellent extensions [PDF]

Journal of Mahani Mathematical Research, 2023
Let $R$ be an associative ring and let $n$ be a non-negative integer‎. ‎In this paper‎, ‎we consider $n$-super finitely presented‎, ‎Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under change of rings‎. For‎ ‎an excellent extension‎ $
Mostafa Amini
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Neutrosophic Rings II [PDF]

, 2012
This paper is the continuation of the work started in [12]. The present paper is devoted to the study of ideals of neutrosophic rings.
Adeleke E.O, Agboola A.A.A., Akinleye S.A.   +2 more
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Neutrosophic Rings I [PDF]

, 2011
In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y., Akinola A.D., Agboola A.A.A.   +2 more
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