In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and the commutativity of Lie ideal under certain conditions were proved.
Abstract
Theoretically, the aim of the paper is identify linguistic expressions, such as proverbs, wise sayings, and popular sayings, used by the playwright A. N. Ostrovsky , along with their translations into Arabic by the Iraqi translator Abdullah Habbah and the Syrian translator HashimHumadi. And practically, there were found about fifty sayings, made of proverbs, wise sayings and popular sayings, which were identified and taken into analysis in respect to their Arabic translation , with the specification of the best rendition of the original text.
Critics and professionals em
... Show MoreIn this paper, the packing problem for complete ( 4)-arcs in is partially solved. The minimum and the maximum sizes of complete ( 4)-arcs in are obtained. The idea that has been used to do this classification is based on using the algorithm introduced in Section 3 in this paper. Also, this paper establishes the connection between the projective geometry in terms of a complete ( , 4)-arc in and the algebraic characteristics of a plane quartic curve over the field represented by the number of its rational points and inflexion points. In addition, some sizes of complete ( 6)-arcs in the projective plane of order thirteen are established, namely for = 53, 54, 55, 56.
Industrial characteristics calculations concentrated on the physical properties for break down voltage in sf6, cf4 gases and their mixture with different concentrations are presented in our work. Calculations are achieved by using an improved modern code simulated on windows technique. Our results give rise to a compatible agreement with the other experimental published data.