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Projective and
injective distributive lattices
Raymond Balbes |
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Vol. 21 (1967), No. 3, 405–420
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Abstract |
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This paper is concerned with the properties of projective and injective distributive lattices. By considering the minimal Boolean extension of a distributive lattice L, the question of the injectivity of L is transferred to the category of Boolean algebras, where a characterization is known. The result is that L is injectivein the category of distributive lattices-if and only if it is a complete Boolean algebra. |
Mathematical Subject Classification
Primary: 06.50
Secondary: 18.00
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Milestones
Received: 22 August 1966
Published: 1 June 1967
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Authors |
| Raymond Balbes | |
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