Abstract
In ([6]; pages 36–41), Lambek constructs the maximal ring of quotients Q(R) of a commutative ring R by denning a multiplication on Homr(D, R) where D ranges over all the dense ideals of R, and this generalizes the classical construction of ring of quotients, (cf. [6] for all the references on the subject.)This programme is carried over, in the first section of this article, to the categoryof commutative reductive semigroups. Examples show that the maximal semigroup of quotients of a commutative monoid can be different from the classical one.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. On the Ring of Quotients of a Boolean Ring
2. 2. Berthiaume P. , Rational completions of monoids, Thesis, McGill University, 1964.
3. A Generalized Ring of Quotients I
4. 8. McMorris F. R. , The maximal quotient semigroup of a semigroup, Thesis, University of Wisconsin-Milwaukee, 1969.
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8 articles.
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