Displaying similar documents to “Principal ideals of finitely generated commutative monoids”

Commutative monoids with zero-divisors

J. C. Rosales (2002)

Bollettino dell'Unione Matematica Italiana

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We describe algorithms for computing the nilradical and the zero-divisors of a finitely generated commutative ∅ -monoid. These algorithms will be used for deciding if a given ideal of a finitely generated commutative ∅ -monoid is prime, radical or primary.

Ideals of noncommutative D R ℓ -monoids

Jan Kühr (2005)

Czechoslovak Mathematical Journal

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In this paper, we introduce the concept of an ideal of a noncommutative dually residuated lattice ordered monoid and we show that congruence relations and certain ideals are in a one-to-one correspondence.