For a Noetherian local domain (R, m, K), it is an open question whether strong F–regularity deforms. We provide an affirmative answer to this question when the canonical module satisfies certain additional assumptions. The techniques used here involve passing to a Gorenstein ring, using an anti– canonical cover.

the late eocene-early oligocene sarnowsar granitic rocks and many dacitic to rhyolitic dykesintruded in metamorphosed and metasomatized shale, sandstone, calcite and dolomite marbles andvolcaniclastic and pyroclastic rocks. as a result several million tons of iron ores formed within carbonaterocks in the sangan area. the sarnowsar granitic rocks are mainly granite to granodiorite, metaluminous,...

the major sources of pahs are anthropogenic. these may be generated by pyrolytic and petrogenic processes. low molecular weight pahs come into the aquatic system through the accidentally leakage of oil spills. incomplete combustion at high temperature will release high molecular weight pahs by products of pyrolytic processes. the methods for assigning sources of pahs include paired isomeric rat...

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 .

LUTHER Burbank was a curious mixture: part garStalin’s ear. He was arrested in 1940 while on a collecting trip and was sentenced to death, but this was rescinded dener, part artist, part P. T. Barnum. He was responsible for a plethora of improved fruits, vegetables, in June 1942. He died in prison in 1943. Had he been able to continue his program, he would surely have and ornamentals. Some of t...

background: surface microhardness is a physical property which access the effect of chemical and physical agents on hard tissues of teeth, and a useful way to examine the resistance of fluoride treated enamel against caries. the purpose of this study was to evaluate microhardness of enamel following ph-cycling through demineralization and remineralization using suspensions of dentifrices with d...

We calculate the decay constant ratios f c=fJ= and f b=f . In the calculation we take into account the mock meson structures of the mesons, as well as the di erence of the wave functions at origin of the vector and pseudoscalar mesons studied by Ahmady and Mendel. We nd that the di erent spin structures of the mesons much a ect the ratios. We incorporate our results in the prediction of the bra...