Results 41 to 50 of about 44,957 (356)
Smarandache Idempotents infinite ring Zn and in Group Ring ZnG [PDF]
, 2005 This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd ...
Vasantha, W.B, Chetry, Moon K.
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DERIVATIONS ON PRIME AND SEMI-PRIME RINGS
Bulletin of the Korean Mathematical Society, 2002 Several results concerning derivations on rings and Banach algebras are proved. A sample theorem: Let \(n\) be a positive integer and let \(R\) be an \(n!\)-torsionfree semiprime ring. If \(D\) and \(G\) are derivations on \(R\) such that \([D^2(x)+G(x),x^n]=0\) for all \(x\in R\), then \([D(x),x]=[G(x),x]=0\) for all \(x\in R\).
Lee, Eun Hwi +2 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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Characteristic of Rings. Prime Fields
Formalized Mathematics, 2015 Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over
Christoph Schwarzweller +1 more
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International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
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On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings
مجلة بغداد للعلوم, 2016 Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP)
Baghdad Science Journal
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Integral group ring of the first Mathieu simple group
, 2007 We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor +5 more
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Generalized Derivations of Prime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 LetRbe an associative prime ring,Ua Lie ideal such thatu2∈Ufor allu∈U. An additive functionF:R→Ris called a generalized derivation if there exists a derivationd:R→Rsuch thatF(xy)=F(x)y+xd(y)holds for allx,y∈R. In this paper, we prove thatd=0orU⊆Z(R)if any one of the following conditions holds: (1)d(x)∘F(y)=0, (2)[d(x),F(y)=0], (3) eitherd(x)∘F(y)=x ...
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Torsion units in integral group ring of the Mathieu simple group M22 [PDF]
, 2008 We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22.
Bódi, Viktor +6 more
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On Rings with Weakly Prime Centers [PDF]
Ukrainian Mathematical Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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