Let R be a Г-ring, and σ, τ be two automorphisms of R. An additive mapping d from a Γ-ring R into itself is called a (σ,τ)-derivation on R if d(aαb) = d(a)α σ(b) + τ(a)αd(b), holds for all a,b ∈R and α∈Γ. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]α = [a,b]α(σ,τ) holds for all a,b∈R and α∈Γ. In this paper, we investigate the commutativity of R by the strong commutativity preserving (σ,τ)-derivation d satisfied some properties, when R is prime and semi prime Г-ring.
Polish Academy of Sciences
The aim of this study was to determine the influence of feeding diets containing different levels of sesame seeds and oil on the egg quality of laying quail. A total of 120, 10 weeks old, were randomly assigned to 1 of 5 dietary groups and fed for 12 weeks diets containing 0% sesame seeds + 0% sesame oil (control group; C) or 0.5% sesame oil (T1), 1% sesame oil (T2), 1% sesame seeds (T3), and 2% sesame seeds (T4).The study was terminated when the birds were 22 weeks of age. Egg quality characteristics involved in the present study were egg weight, yolk diameter, yolk height, yolk weight, albumen height, albumen weight,Haugh unit, shell weight, shell thickness, shell percentage, yolk percentage, and albumen percentage. The addition of sesame
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