A class of multiplicative lattices
نویسندگان
چکیده
We study the multiplicative lattices L which satisfy condition a = (a : b))(a b) for all a, b ∈ L. Call them sharp lattices. prove that every totally ordered lattice is isomorphic to ideal of valuation domain with value group ℤ or ℝ. A localized at its maximal elements are The converse true if has finite character.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2021
ISSN: ['0011-4642', '1572-9141']
DOI: https://doi.org/10.21136/cmj.2021.0034-20