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In Chapter I, various (numerical) semigroup-theoretic concepts and constructions are introduced and characterized. Applications in Chapter II are made to the study of Noetherian local one-dimensional analytically irreducible integral domains, especially for the Gorenstein, maxi…
In the first paper, the [script capital] H-coextension problem for monoids is studied in full generality. This is done by means of a factor system technique which reduces to classical group extension theory when all monoids under consideration are groups. This technique is made …