Results 21 to 30 of about 343,956 (260)
On the primeness of near-rings [PDF]
Arab Journal of Mathematical Sciences, 2020 In this paper, we study the different kinds of the primeness on the class of near-rings and we give new characterizations for them. For that purpose, we introduce new concepts called set-divisors, ideal-divisors, etc.
Khalid H. Al-Shaalan
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some algebraic identities on generalized left ...
Enaam Farhan
doaj +1 more source
Serval algebraic identities in 3-prime near-rings [PDF]
Kragujevac Journal of Mathematics, 2018 Summary: The purpose of this paper is to study derivations and generalized derivations satisfying certain differential identities on Jordan ideals and Lie ideals of \(3\)-prime near-rings. Moreover, we provide examples to show that hypothesis of our results are necessary.
Boua, A., Ali, A., Huque, I. Ul
openaire +2 more sources
Different types of primary ideals of near-rings and their graphs [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-
Adnan Muhammad +2 more
doaj
, 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 the commutativity of quotient near-rings under specific identities [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to investigate the commutativity of quotient near-rings endowed with a left derivation and a multiplier satisfying specific differential algebraic identities, and to clarify the role of the 3-prime condition in this ...
Slimane El Amrani, Abderrahmane Raji
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Jordan ideals and derivations in prime near-rings [PDF]
, 2014 summary:In this paper we investigate $3$-prime near-rings with derivations satisfying certain differential identities on Jordan ideals, and we provide examples to show that the assumed restrictions cannot be ...
Raji, Abderrahmane +2 more
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On the number of prime order subgroups of finite groups [PDF]
, 2009 Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart +3 more
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Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +5 more
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, 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
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