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- W2279785628 abstract "Summary A quasi-field is denned by the postulates of a commutative algebraic field, except that the distributive law a(b + c) = ab + ac is replaced by a(b 1 + … +b n )=ab 1 + … +ab n for a fixed integer n . The properties of quasi-fields are investigated. The study of their ideals is reduced to the study of the ideals of a certain type of ring. A particular quasi-field is constructed formally by means of polynomial domains modulo a natural number, with addition specially defined. Quasi-fields are connected with multiple fields —another generalisation of the conception of a commutative field, in which a fixed number of elements (> 2) co-operate symmetrically in the formation of any sum or product." @default.
- W2279785628 created "2016-06-24" @default.
- W2279785628 creator A5073344159 @default.
- W2279785628 date "1941-01-01" @default.
- W2279785628 modified "2023-09-27" @default.
- W2279785628 title "IX.—On a Certain Variation of the Distributive Law for a Commutative Algebraic Field" @default.
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- W2279785628 doi "https://doi.org/10.1017/s0080454100006105" @default.
- W2279785628 hasPublicationYear "1941" @default.
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