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].
Classification :
06B35, 06C10
Keywords: lower continuous lattices; strongly dually atomic lattices; semimodular and atomic lattices
Keywords: lower continuous lattices; strongly dually atomic lattices; semimodular and atomic lattices
@article{ARM_1996__32_3_a1,
author = {Walendziak, Andrzej},
title = {Semimodularity in lower continuous strongly dually atomic lattices},
journal = {Archivum mathematicum},
pages = {163--165},
publisher = {mathdoc},
volume = {32},
number = {3},
year = {1996},
mrnumber = {1421853},
zbl = {0902.06011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_3_a1/}
}
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/