We extend some results of Brewer and Heinzer about integral domains with certain comaximal factorization properties for ideals, to the more general setup multiplicative lattices.

We review some methods of associating graphs to rings. The main emphasis is on zero-divisor graphs and comaximal ones. Some new results in both directions are presented. AMS Mathematics Subject Classification (2000): 13A99, 05C99, 16S50

we used qcd factorization for the hadronic matrix elements to show that the existing data, in particular the branching ratios br ( ?j/?k) and br ( ?j/??), can be accounted for this approach. we analyzed the decay within the framework of qcd factorization. we have complete calculation of the relevant hard-scattering kernels for twist-2 and twist-3. we calculated this decays in a special scale ( ...

We used QCD factorization for the hadronic matrix elements to show that the existing data, in particular the branching ratios BR ( ?J/?K) and BR ( ?J/??), can be accounted for this approach. We analyzed the decay within the framework of QCD factorization. We have complete calculation of the relevant hard-scattering kernels for twist-2 and twist-3. We calculated this decays in a special scale ...

In this paper we introduce the comaximal graph of a finite bounded lattice L, denoted by Γ(L). We also study the interplay of lattice-theoretic properties of L with graphtheoretic properties of Γ(L). 2010 Mathematics Subject Classification: 05C10, 06A07, 06B10