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Bi-ideals in Clifford ordered semigroup

Kalyan Hansda (2013)

Discussiones Mathematicae - General Algebra and Applications

In this paper we characterize both the Clifford and left Clifford ordered semigroups by their bi-ideals and quasi-ideals. Also we characterize principal bi-ideal generated by an ordered idempotent in a completely regular ordered semigroup.

Commutative monoids with zero-divisors

J. C. Rosales (2002)

Bollettino dell'Unione Matematica Italiana

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.

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