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- W2057707411 abstract "The paper is in two parts. In Part I we describe a construction of a certain kind of subdirect product of a family of rings. We endow the index set of the family with the partial order structure of an SFP domain, as introduced by Plotkin, and provide a commuting system of homomorphisms between those rings whose indices are related in the ordering. We then take the subdirect product consisting of those elements of the direct product having finite support in the sense of this domain structure. In the special case where the homomorphisms are isomorphisms of a fixed ring S, our construction reduces to taking the Boolean power of S by a Boolean algebra canonically associated with the SFP domain" @default.
- W2057707411 created "2016-06-24" @default.
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- W2057707411 date "1993-11-01" @default.
- W2057707411 modified "2023-09-27" @default.
- W2057707411 title "A Construction of Many Uncountable Rings Using SFP Domains and Aronszajn Trees" @default.
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- W2057707411 doi "https://doi.org/10.1112/plms/s3-67.3.449" @default.
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