Multilevel power converters provide more than two levels of voltage to achieve smoother and less distorted ac to-dc, dc-to-ac, and dc-to-dc power conversion. This paper presents a generalized multilevel inverter (converter) topology with self voltage balancing. The generalized multilevel inverter topology provides a true multilevel structure that can balance each DC voltage level automatically ...

The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders. Furthermore, a construction of generalized ideals from preideals, and vice versa, is obtained. As a particular consequence of the results in this paper, a construction of fuzzifying t...

KrulΓs principal ideal theorm [Krull] states that q elements in the maximal ideal of a local noetherian ring generate an ideal whose minimal components are all of height at most q. Writing R for the ring, we may consider the q elements, x19 , xq say, as coordinates of an element xeR. It is an easy observation that every homomorphism R —> R carries x to an element of the ideal generated by xi9 ,...