University of Guilan Journal of Algebra and Related Topics 2345-3931 3 1 2015 06 01 F-regularity relative to modules 41 50 1212 EN F. Dorostkar University of Guilan R. Khosravi University of Guilan Journal Article 2015 10 09 In this paper we will generalize  some of known results on the tight closure of an ideal to the tight closure of an ideal relative to a module . Tight closure $F-$regular and weakly $F-$regular relative to a module https://jart.guilan.ac.ir/article_1212_1707024d6a7b82e8d1892f7dbb86f9ff.pdf