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NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

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

open access: yesAnnales 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

Smarandache near-rings [PDF]

open access: yes, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

BIALGEBRAIC STRUCTURES AND SMARANDACHE BIALGEBRAIC STRUCTURES [PDF]

open access: yes, 2003
The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998.
VASANTHA, KANDASAMY
core   +1 more source

Smarandache rings [PDF]

open access: yes, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

Intuitionistic Fuzzy Normal subrings over a non-associative ring

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
N. Palaniappan et. al [20, 28] have investigated the concept of intuitionistic fuzzy normal subrings in associative rings.
Shah Tariq   +2 more
doaj   +1 more source

About unital and non-unital duo rings [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
doaj   +1 more source

The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2022
In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko   +2 more
doaj   +1 more source

Power-Associativity of Antiflexible Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Conditions which force an antiflexible ring of characteristic p p to be power-associative are determined.
Celik, Hasan A., Outcalt, David L.
openaire   +2 more sources

On Generalized Derivations and Commutativity of Associative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
Let 𝒭 be a ring with center Z(𝒭). A mapping f : 𝒭 → 𝒭 is said to be strong commutativity preserving (SCP) on 𝒭 if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on 𝒭 if f (x) ◦ f (y) = x ◦ y for all x, y ∈𝒭.
Sandhu Gurninder S.   +2 more
doaj   +1 more source

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