Given a monoid S with E any non-empty subset of its idempotents, we present novel one-sided version idempotent completion call left E-completion. In general, the construction yields variant small category called constellation by Gould and Hollings. Under certain conditions, this is inductive, meaning that partial multiplication may be extended to give restriction semigroup, type unary semigroup...

In this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For a normal subgroup H of K, we define a weight function ?? on KIH and obtain connection between left amenability of (K, ?) and (K|H, ??). Let H be a compact subhypergroup of K. We define the weight function on K||H and obtain connection...

thirty pairs ovaries of camel from isfahan abattoiry were collected. in each specimen,  some parameters such as  length, width and thickness of left and right ovaries were measured. for histological studies , after tissue preparation  and staining with h&e;, the ovarian follicles were recognized and classified. for each follicle some parameters such as: diameter of oocyte and follicle, thicknes...