a-minimal prime ideals in almost distributive lattices
نویسندگان
چکیده
منابع مشابه
Prime 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...
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The concept of extended ideals in an Almost distributive Lattice is introduced and studied their properties.
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The concept of -ideals is introduced in an Almost Distributive lattice(ADL) with respect to a congruence and the properties of -ideals are studied. Derived a set of equivalent conditions for a -ideal to become a -prime ideal.
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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 کاملGeneralized Almost Distributive Lattices-I
The concept of a GADL as a generalization of an ADL is introduced. Necessary and sufficient conditions for a GADL to become a distributive lattice and a GADL to become an ADL are obtained. We also study the maximal sets in a GADL and give equivalent conditions for a GADL to become a distributive lattice in terms of maximal
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2021
ISSN: ['2008-1898', '2008-1901']
DOI: https://doi.org/10.22436/jnsa.014.04.03