On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras

In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras

On some subgroups associated with the tensor square of a group

In this paper we present some results about subgroup which is generalization of the subgroup $R_{2}^{otimes}(G)={ain G|[a,g]otimes g=1_{otimes},forall gin G}$ of right $2_{otimes}$-Engel elements of a given group $G$. If $p$ is an odd prime, then with the help of these results, we obtain the results about tensor squares of p-groups satisfying the law $[x,g,y]otimes g=1_{otimes}$, for all $x, g, yin G$. In particular p-groups satisfying the law $[x,g,y]otimes g=1_{otimes}$ have abelian tensor squares. Moreover, we can determine tensor squares of two-generator p-groups of class three satisfying the law $[x,g,y]otimes g=1_{otimes}$

Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras

The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier of a pair of Lie algebras. The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of a pair of Lie algebras

Antimicrobial susceptibility, plasmid profiles, and RAPD-PCR typing of Acinetobacter bacteria.

Background: Multiple-drug resistant Acinetobacter have widely spread in the last decades imposing a serious nosocomial source of infection. Nevertheless, little knowledge was gaimed on tracing the development of antibiotic resistance in Acinetobacter species. Objectives: Explore Acinetobacter spp. via antimicrobial susceptibility, plasmid profiles, and random amplified polymorphism DNA polymerase chain reaction (RAPD-PCR) typing.Methods: One hundred twelve Acinetobacter isolates (including 66 A. baumannii and 46 non-Acinetobacter baumannii strains) were obtained from three university hospitals. The source of infection of these isolates included blood, urine, wound, and respiratory tract. Their susceptibilities to 17 antibiotics were tested and then all Acinetobacter isolates were typed by plasmid analysis and RAPD-PCR method.Results: A. baumannii isolates revealed nine different patterns of antibiotic resistance. Of those, non-A. baumannii, were associated with plasmid and RAPD-PCR typings (p 0.05).Conclusion: There is a wide spread of multi-drug resistant Acinetobacter spp., particularly A. baumannii, in the Middle East region that can be traced efficiently by plasmid and genotyping typing of Acinetobacter. More care should be taken for tracing the development of antimicrobial resistance of Acinetobacter using precise molecular typing techniques