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- W1974477234 abstract "The notion of a reduction ring has been introduced by B. Buchberger to specify (by a set of axioms relating the arithmetic operations in the ring with an ordering on the ring) a class of rings for which the Gröbner bases approach is possible. The notion of a reduction ring has later been generalized by giving weaker axioms that contain a wider class of rings. In this paper we study the heredity of the reduction ring property, i.e., give theorems of the following kind: If R is a reduction ring and S is built up from R by a certain “operation” then S is also a reduction ring. Examples of possible S are rings Rn and rings RA, where A is an ideal in R." @default.
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- W1974477234 date "1991-07-01" @default.
- W1974477234 modified "2023-09-23" @default.
- W1974477234 title "The reduction ring property is hereditary" @default.
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- W1974477234 doi "https://doi.org/10.1016/0021-8693(91)90166-6" @default.
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