Geodesic
Semimodularity in lower continuous strongly dually atomic lattices
Archivum mathematicum, Tome 32 (1996) no. 3, pp. 163-165
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For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].
For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].
Classification : 06B35, 06C10
Keywords: lower continuous lattices; strongly dually atomic lattices; semimodular and atomic lattices 
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Walendziak, Andrzej. Semimodularity in lower continuous strongly dually atomic lattices. Archivum mathematicum, Tome 32 (1996) no. 3, pp. 163-165. http://geodesic.mathdoc.fr/item/ARM_1996_32_3_a1/

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