The congruence lattice of an ideal extension of semigroups

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Abstract. Let L and M be two finite lattices. The ideal J(L,M) is a monomial ideal in a specific polynomial ring and whose minimal monomial generators correspond to lattice homomorphisms ϕ: L→M. This ideal is called the ideal of lattice homomorphism. In this paper, we study J(L,M) in the case that L is the product of two lattices L_1 and L_2 and M is the chain [2]. We first characterize the set...

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ژورنال

عنوان ژورنال: Glasgow Mathematical Journal

سال: 1993

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s001708950000954x