Rice Hull Ash as Filler in Microcellular Soles

Fully burnt rice hull (rice hull ash) was tried as a low cost filler in place of precipitated silica in NBR/PVC based microcellular soles. The mechanical properties of the soles containing silica and ash are found to be comparable. The expansion is marginally higher in the presence of ash, which permits to reduce the amount of blowing agent. Cell structure of microcellular sheets remains unchanged when silica is replaced by ash.

Studies in Fuzzy Commutative Algebra

The main objective of this thesis was to extend some basic concepts and results in module theory in algebra to the fuzzy setting.The concepts like simple module, semisimple module and exact sequences of R-modules form an important area of study in crisp module theory. In this thesis generalising these concepts to the fuzzy setting we have introduced concepts of ‘simple and semisimple L-modules’ and proved some results which include results analogous to those in crisp case. Also we have defined and studied the concept of ‘exact sequences of L-modules’.Further extending the concepts in crisp theory, we have introduced the fuzzy analogues ‘projective and injective L-modules’. We have proved many results in this context. Further we have defined and explored notion of ‘essential L-submodules of an L-module’. Still there are results in crisp theory related to the topics covered in this thesis which are to be investigated in the fuzzy setting. There are a lot of ideas still left in algebra, related to the theory of modules, such as the ‘injective hull of a module’, ‘tensor product of modules’ etc. for which the fuzzy analogues are not defined and explored.