Using techniques of commutative algebra and p-adic analysis, we classify all integral domains arising as quotient rings of Z[[x]].

There are many things in life that we take for granted. Take for example, the mystery of a folding sunshade. What forces cause the sunshade to fold into a smaller circle and lock? There is actually a mathematical model for ...

Many students arrive in college thinking of mathematics as a set of procedures to memorize and apply. This is in direct opposition to mathematicians‟ conviction that mathematical learning consists of developing an understanding ...

The focus of this paper is to find properties inherent to constructible families of subsets. From a family of subsets U = {A1,A2,...}, U1 is defined to be U∪ {(Ai)c,Am ∪ An,Am ∩ An : Ai,Am,An ∈ U}. From U1, U2 can be defined ...