Results 11 to 20 of about 318 (63)
Jordan Derivations on Lie Ideals of Prime T-Rings
, 2017 The details of the research can be found in the full paper. Keywords: Derivation, Jordan derivation, Lie ideal, admissible Lie ideal, square closed Lie ideal,prime ????-ring.2010 AMS Subject Classication: Primary 13N15; Secondary 16W10,17C50.
A. C. Paul, Mizanor Rahman
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Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
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Divergence-free polynomial derivations
, 2017 In this paper we present some new and old properties of divergences and divergence-free derivations. Throughout the paper all rings are commutative with unity. Let k be a ring and let d be a k-derivation of the polynomial ring k[X] = k[x1, . . .
A. Nowicki
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Powersum formula for differential resolvents
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 365-371, 2004., 2004 We will prove that we can specialize the indeterminate α in a linear differential α‐resolvent of a univariate polynomial over a differential field of characteristic zero to an integer q to obtain a q‐resolvent. We use this idea to obtain a formula, known as the powersum formula, for the terms of the α‐resolvent.
John Michael Nahay
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COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM
Forum of Mathematics, Sigma, 2014 We show how the Selberg $\Lambda ^2$ -sieve can be used to obtain power saving error terms in a wide class of counting problems which are tackled using the ...
ARUL SHANKAR, JACOB TSIMERMAN
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DERIVATIONS OF FUZZY IMPLICATIVE IDEALS
, 2017 The present paper introduce the notion of (left\right) derivation of BCI-algebra X on fuzzy BCIideals and fuzzy implicative ideals and prove various properties.
T. Alsolami, S. A. Bashammakh
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On dependent elements in rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 54, Page 2895-2906, 2004., 2004 Let R be an associative ring. An element a ∈ R is said to be dependent on a mapping F : R → R in case F(x)a = ax holds for all x ∈ R. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated. We prove, for example, that in case we have a semiprime ring R, there are no nonzero elements which are dependent on ...
Joso Vukman, Irena Kosi-Ulbl
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(U. M)-derivations in completely semiprime Г-rings
, 2016 The objective of this paper is to extend and generalize some results of (Rahman and Paul, 2014) in completely semiprime Г- rings. We prove that, if is an admissible Lie ideal of a completely semiprime Г-ring and d is a (U, M) -derivation of then d(uαv)=d(
Mm Rahman, A. Paul
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Rings and fields of constants of cyclic factorizable derivations
Analytic and Algebraic Geometry 3, 2019 We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero. 1.
J. Zieliński
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A partial factorization of the powersum formula
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 58, Page 3075-3101, 2004., 2004 For any univariate polynomial P whose coefficients lie in an ordinary differential field 𝔽 of characteristic zero, and for any constant indeterminate α, there exists a nonunique nonzero linear ordinary differential operator ℜ of finite order such that the αth power of each root of P is a solution of ℜzα = 0, and the coefficient functions of ℜ all lie ...
John Michael Nahay
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