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- W2110341313 abstract "Let be a category with finite products and a final object and let X be any group object in . The set of -morphisms, ( X , X ) is, in a natural way, a near-ring which we call the endomorphism near-ring of X in Such nearrings have previously been studied in the case where is the category of pointed sets and mappings, ( 6 ). Generally speaking, if Γ is an additive group and S is a semigroup of endomorphisms of Γ then a near-ring can be generated naturally by taking all zero preserving mappings of Γ into itself which commute with S (see 1 ). This type of near-ring is again an endomorphism near-ring, only the category is the category of S -acts and S -morphisms (see ( 4 ) for definition of S -act, etc.)." @default.
- W2110341313 created "2016-06-24" @default.
- W2110341313 creator A5067399847 @default.
- W2110341313 date "1975-09-01" @default.
- W2110341313 modified "2023-09-25" @default.
- W2110341313 title "Near-rings of quotients of endomorphism near-rings" @default.
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- W2110341313 doi "https://doi.org/10.1017/s0013091500010440" @default.
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