M.Phil / MS

This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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On Some Partitions Of The Multicomplexes
(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Ali Shan; FA19-RMT-088; LHR TP 7418; Dr. Sarfraz Ahmad
The study of monomial ideal of polynomial ring ’R’ at most with the pretty clean three variables is done. The polarisation I p is known as clean If and only if, the arbitrary monomial ideal ’I’ is also relatively clean. A proper revised characterisation is prettyclean along the monomialideals in theterms of arithmetic degree is presented. This means that a simplicial complex’s polarisation corresponds to shellable if and only if a multicomplex is shellable. In this thesis Stanley decomposition with respect to prime filtrations is discussed.