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.

On ideals of lattice ordered monoids

Milan Jasem (2007)

Mathematica Bohemica

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In the paper the notion of an ideal of a lattice ordered monoid A is introduced and relations between ideals of A and congruence relations on A are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.