Results 11 to 20 of about 69 (66)
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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, 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
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On Multiplicative (Generalized)‐Derivation Involving Semiprime Ideals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)‐derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various ...
Hafedh M. Alnoghashi +3 more
wiley +1 more source
BIALGEBRAIC STRUCTURES AND SMARANDACHE BIALGEBRAIC STRUCTURES [PDF]
, 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
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Centralizing n‐Homoderivations of Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We introduce the notion of n‐homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n‐homoderivation which is centralizing on some nontrivial one‐sided ideal. Under similar hypotheses, we prove commutativity in prime rings.
M. S. Tammam El-Sayiad +3 more
wiley +1 more source
, 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
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On Generalized Derivations and Commutativity of Associative Rings [PDF]
, 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 ∈. In the present
Davvaz Bijan +5 more
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Centrally Extended α‐Homoderivations on Prime and Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings.
Mahmoud M. El-Soufi +2 more
wiley +1 more source
Generalized Derivations and Left Ideals in Prime and Semiprime Rings [PDF]
, 2011 Let R be an associative ring, λ a nonzero left ideal of R, d:R→R a derivation and G:R→R a generalized derivation.
Atanu Pattanayak, Basudeb Dhara
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Smarandache Fuzzy Algebra [PDF]
, 2003 groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy +2 more
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