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In the first chapter some basic notions and results from commutative algebra are being introduced. In the second chapter we present new results related to sequentially Cohen Macaulay, pretty clean and Stanley ideals. Let I be a monomial ideal of the poly- nomial ring S. We show that S=I is sequentially Cohen-Macaulay if and only if S=I is pretty clean. In particular, if S=I is sequentially Cohen- Macaulay then I is a Stanley ideal. Chapter 3 includes some results related to Stanley Conjecture. We define nice partition of the multicomplex associated to a Stanley ideal. In the main result we...

The work reported here was based on investigations of neutrons and X-rays emitted from a Mather type plasma focus by varying charging voltage (capacitor energy/ discharged current) and employing different pre-ionization schemes to obtain high neutrons and photons emission. It was observed that the radiated energy strongly depends upon the filling pressure as well as on effectiveness of pre-ionization. There was a significant increase in the neutron emission, characteristics and total X-ray emission with pre-ionization caused by depleted uranium as compared to other pre-ionization schemes....