The reactions of four-coordinated transition metal macrocyclic complexes [ML](ClO(4))(2) (L = 5,5,7,12,12,14-hexamethyl-1,4,8,11-tetraazacyclotetradecane, M = Ni, Cu) with NH4VO3 under different conditions gave four coordination polymers of {[(CuL)(0.5)(H2L)(1.5)][H2V10O2)] x 6H(2)O}(n) (1x6H(2)O), {[NiL](3)[V16O38(H2O)] x 6H(2)O}(n) (2 x 6H(2)O), {[NiL][VO(3)](2) x 0.33H2O}(n) (3.0.33H(2)O), a...

Let R be a commutative ring with 1 such that Nil(R) is a divided prime ideal of R. The purpose of this paper is to introduce a new class of rings that is closely related to the class of Noetherian rings. A ring R is called a Nonnil-Noetherian ring if every nonnil ideal of R is finitely generated. We show that many of the properties of Noetherian rings are also true for Nonnil-Noetherian rings; ...

Can there be a structure space-type theory for an arbitrary class of ideals ring? The ideal spaces introduced in this paper allows such study and our includes (but not restricted to) prime, maximal, minimal strongly irreducible, completely proper, minimal, primary, nil, nilpotent, regular, radical, principal, finitely generated ideals. We characterise that are sober. introduce the notion discon...

We formulate and prove a geometric version of the Fundamental Theorem of Algebraic K-Theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a nite complex and a circle with that of the complex. By using methods of controlled topology, we also obtain a geometric...

Background and Objectives: Surgical site infection (SSI) is the most common nosocomial infection encountered in post operative surgical wards. The use of prophylactic antibiotic in clean elective surgical cases is still a subject of controversy to surgeons. The objective of the study is to identify the need for using prophylactic antibiotics in clean surgeries, prevalence of organisms in patien...

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the notion of intuitionistic nil radicals of intuitionistic fuzzy ideals in commutative rings some properties of such nil radicals. Mathematics Subject Classification: 03E72

Let R be a commutative ring with unity and M unitary module. Nil(M) the set of all nilpotent elements M. The entire element graph over is an undirected E(G(M)) vertex as any two distinct vertices x y are adjacent if only + ∈ Nil(M). In this paper we attempt to study domination in investigate number well bondage its induced subgraphs N(G(M)) Non(G(M)). Some parameters also studied. It has been s...