In this paper, the (infinite) direct product of fields is investigated. particular, finiteness a given set characterized in terms some ring-theoretic observations. Next, certain localization (whose multiplicative formed by cofinite sets) studied. Finally, it shown that every X can be made into separated scheme, and scheme an affine if only finite set.

The topology of an interconnection network can be modeled by a graph G=(V(G),E(G)). connectivity G is parameter used to measure the reliability corresponding network. direct product important product. This paper mainly focuses on super connectedness graphs and cycles. G, denoted κ(G), size minimum vertex set S⊆V(G) such that G−S not connected or has only one vertex. said connected, simply super...