More on distributive ideals
نویسندگان
چکیده
منابع مشابه
Monomial Ideals Arising from Distributive Lattices
The free resolution and the Alexander dual of squarefree monomial ideals associated with certain subsets of distributive lattices are studied.
متن کاملOn Ideals and Congruences of Generalized Almost Distributive Lattices
Necessary and sufficient conditions for a GADL to become an ADL are obtained interms of congruence relations and proved that every associative GADL is an ADL.
متن کاملExtended Ideals of Almost Distributive Lattices
The concept of extended ideals in an Almost distributive Lattice is introduced and studied their properties.
متن کاملPrime Filters and Ideals in Distributive Lattices
The article continues the formalization of the lattice theory (as structures with two binary operations, not in terms of ordering relations). In the Mizar Mathematical Library, there are some attempts to formalize prime ideals and filters; one series of articles written as decoding [9] proven some results; we tried however to follow [21], [12], and [13]. All three were devoted to the Stone repr...
متن کاملRegularity of Join-meet Ideals of Distributive Lattices
Let L be a distributive lattice and R(L) the associated Hibi ring. We compute regR(L) when L is a planar lattice and give bounds for regR(L) when L is nonplanar, in terms of the combinatorial data of L. As a consequence, we characterize the distributive lattices L for which the associated Hibi ring has a linear resolution.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1987
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-128-2-113-130