The generalized Kronecker function ring and the ring R(X).
James A. Huckaba, George W. Hinkle (1977)
Journal für die reine und angewandte Mathematik
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James A. Huckaba, George W. Hinkle (1977)
Journal für die reine und angewandte Mathematik
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In this article, semiring and semialgebra of sets are formalized so as to construct a measure of a given set in the next step. Although a semiring of sets has already been formalized in [13], that is, strictly speaking, a definition of a quasi semiring of sets suggested in the last few decades [15]. We adopt a classical definition of a semiring of sets here to avoid such a confusion. Ring of sets and algebra of sets have been formalized as non empty preboolean set [23] and field of subsets...
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