WHEN LATTICE HOMOMORPHISMS OF ARCHIMEDEAN VECTOR LATTICES ARE RIESZ HOMOMORPHISMS
نویسندگان
چکیده
منابع مشابه
Ideal of Lattice homomorphisms corresponding to the products of two arbitrary lattices and the lattice [2]
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: Journal of the Australian Mathematical Society
سال: 2009
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788708080993