We present various approaches to J. Herzog's theory of generalized local cohomology and explore its main aspects, e.g., (non-)vanishing results as well a general duality theorem which extends, much broader class rings, previous by Herzog-Zamani Suzuki. As an application, we establish prescribed upper bound for the projective dimension module satisfying suitable cohomological conditions, derive ...

We analyze the domination game, where two players, Dominator and Staller, construct together a dominating set M in a given graph, by alternately selecting vertices into M . Each move must increase the size of the dominated set. The players have opposing goals: Dominator wishes M to be as small as possible, and Staller has the opposite goal. Kinnersley, West and Zamani conjectured in [4] that wh...

Motivated by the work of Zargar and Zamani, we introduce a family elliptic curves containing several one- (respectively two-) parameter subfamilies high rank over function field $\mathbb{Q}(t)$ $\mathbb{Q}(t,k)$). Following approach Moody, construct two infinitely many at least 5 $\mathbb{Q}(t,k)$. Secondly, deduce other this family, induced edges rational cuboid five independent $\mathbb{Q}(t)...

Abstract 
 Turbud (Operculina turpethum L.) belongs to the family Convolvulaceae, a potent and well-known medicinal herb, used in Unani system of medicine treat several diseases. It is large perennial twinner with milky juice. Roots are long, slender, fleshy, much branched. In classical text it mentioned that which white colour, light weighted having resin on both ends good quality. medici...