The authors give two cohomology vanishing theorems for domains, which are not pseudoconvex, and characterize the holomorphy of domains with smooth boundaries in separable Hilbert spaces through cohomology vanishing.
This article is based on the notions of a congruence of a semigroup and the p-lower and p-upper approximations of a nonempty subset of a semigroup, discussing some properties of the product of these two subsets accord...This article is based on the notions of a congruence of a semigroup and the p-lower and p-upper approximations of a nonempty subset of a semigroup, discussing some properties of the product of these two subsets according to the properties of some especial single subsets such as subsemigroups and ideals, then the rigorous proof was given. Thus the rough theory in semigroups are completed and perfected.展开更多
基金Korea Research Foundation Grant (KRF-2001-015-DP0015).
文摘The authors give two cohomology vanishing theorems for domains, which are not pseudoconvex, and characterize the holomorphy of domains with smooth boundaries in separable Hilbert spaces through cohomology vanishing.
文摘This article is based on the notions of a congruence of a semigroup and the p-lower and p-upper approximations of a nonempty subset of a semigroup, discussing some properties of the product of these two subsets according to the properties of some especial single subsets such as subsemigroups and ideals, then the rigorous proof was given. Thus the rough theory in semigroups are completed and perfected.
