Quinolone antibacterial agents are currently used for the treatment of various bacterial infections. The nature of functional group at the 7 position of the quinolone ring system is known to have strong influence on the spectrum and extent of in vitro antibacterial activity. Accordingly, a series of N-L2- oxo-2-(2- furyl) and N-[2- oxyimino (2- furyl) ethyl] piperazinyl quinolone derivatives...

We show that E∗(P (n) ∗), the E-homology of the Ω-spectrum for P (n), is an E∗ free Hopf ring for E a complex oriented theory with In sent to 0. This covers the cases P (q)∗(P (n) ∗) and K(q)∗(P (n) ∗), q ≥ n. The generators of the Hopf ring are those necessary for the stable result. The motivation for this paper is to show that P (n) satisfies all of the conditions for the machinery of unstabl...

 Let $R$ be a commutative ring and $M$ be an $R$-module with $T(M)$ as subset, the set of torsion elements. The total graph of the module denoted by $T(Gamma(M))$, is the (undirected) graph with all elements of $M$ as vertices, and for distinct elements $n,m in M$, the vertices $n$ and $m$ are adjacent if and only if $n+m in T(M)$. In this paper we study the domination number of $T(Gamma(M))$ a...

Nagahara and Kishimoto [i] studied free ring extensions B(x) of degree n n for some integer n over a ring B with i, where x b, cx xp(c) for all c and n-I some b in B (p automorphism of B), and {i, x x is a basis. Parimala and Sridharan [2], and the author investigated a class of free ring extensions called generalized quaternlon algebras in which b -I and p is of order 2. The purpose of the pre...

A ring R is said to be n-clean if every element can be written as a sum of an idempotent and n units. The class of these rings contains clean ring and n-good rings in which each element is a sum of n units. In this paper, we show that for any ring R, the endomorphism ring of a free R-module of rank at least 2 is 2-clean and that the ring B(R) of all ω × ω row and column-finite matrices over any...

2,5,10,13-tetraazatricyclo [12,2,2,26,9] icosa-1(16),6,8,14,17,19-hexene-3,4,11,12-tetraone tetraoxime (1a) and 2,5,11,14-tetraazatricyclo [13,3,1,16,10] icosa-1(19),6,8,10(20),15,17-hexaene-3,4,12,13-tetraonetetraoxime (1b) were obtained from condensation of 1,4- and 1,3-phenylendiamine with dichloroglyoxime, respectively. the reaction of 1,2-phenylendiamine with dichloroglyoxime resulted in t...

Throughout this paper, R will denote a commutative ring with identity and M is a unitary R- module and Z will denote the ring of integers. We introduce the graph Ω(M) of module M with the set of vertices contain all nontrivial non-essential submodules of M. We investigate the interplay between graph-theoretic properties of Ω(M) and algebraic properties of M. Also, we assign the values of natura...