We discuss Matijevic–Roberts type theorem on strong F -regularity, F -purity, and Cohen–Macaulay F -injective (CMFI for short) property. Related to this problem, we also discuss the base change problem and the openness of loci of these properties. In particular, we define the notion of F -purity of homomorphisms using Radu–André homomorphisms, and prove basic properties of it. We also discuss a...

The Effect of Educational Expenditures on Added Value in Industrial Sector K. Shahbaazi, Ph.D. M. Hassani, Ph.D. N. Shahbaazi Since 78% of the work force in Iranian industries consists of those holding a high school diploma or less, any investment in increasing this level of education could lead to an increase in the added value in the industrial sector. Analyses of the availabl...