Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph  make up the graph's quotient energy. The objective of this study is to examine the quotient energy of identity graphs and zero-divisor graphs  of commutative rings using group theory, graph theory, and applications. In this study, the identity graphs  derived from the group  and a few classes of zero-divisor graphs  of the commutative ring R are examined.

The study involves removing of [Alizarin Red S (ARS) and Alizarin yellow R (AYR)] by using Iraqi Siliceous Rocks Powder (SRP). Adsorption isotherms were studied and the factors which influence it, such as temperature and salt effect. Adsorption isotherms of (ARS) were found to be comparable to Temkin equation. Adsorption isotherms of (AYR) were found to be comparable to Freundlich equation. The adsorption process on this surface was studied at different temperatures. The results showed that the adsorption of (ARS,AYR) on surface increased with increasing temperature (Endothermic process). According to the above results the thermodynamic functions (ΔH, ΔG, ΔS) were calculated. The adsorption quantity increasing for (ARS, AYR) with increas

The amino thiadiazole [I] on treatment with aromatic aldehydes yielded Schiff bases [IIa-c], which cyclized to thiazolidinone [IIIa-c] derivatives by reaction with thioglycolic acid. Reaction of carbon disulfide and methyl iodide with [I] gavedithiomethyl [IV] which on treatment with o-phenylenediamine gave the condensed N-Imidazolythiadiazolylamine [V], However, reaction of [I] with phenylisocyanate and phenylisothiocyanate afforded the carbamideand carbothiamide derivatives [VI. VII] ac. The structure of these compounds was characterized from their melting point, FTIR spectroscopy and elementalanalysis

Most of the world is seeking attention to the agricultural sector, which occupies a distinguished economic center, including Iraq, it is no wonder that the focus is on this sector, especially in developing countries. Descriptive analysis of the sample tables of wheat and barley crops in Iraq showed that adherence to the principles and rules of total quality, including modern irrigation methods (irrigated) has a significant impact in increasing productivity, reducing costs and improving quality compared to traditional irrigation methods, so it became necessary to take agricultural economic units All procedures and means that will help in the application of the rules of total quality to promote the reality of wheat and barley cultivation in I