On Generalization of Modular Lattices
| dc.contributor.author | Stocka, Agnieszka | |
| dc.date.accessioned | 2025-12-12T15:23:26Z | |
| dc.date.available | 2025-12-12T15:23:26Z | |
| dc.date.issued | 2025-11-28 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/56973 | |
| dc.description.abstract | We introduce the concepts of dually balanced lattices and \(M\)-lattices and provide some basic properties of these classes of lattices. Both classes can be viewed as generalizations of the well-known class of modular lattices. In particular, we obtain analogues of the Kurosh-Ore theorem for dually balanced lattices and the Jordan-Hölder theorem for \(M\)-lattices. Furthermore, we investigate the behaviour of several invariants, including the hollow dimension and the Kurosh-Ore dimension in dually balanced lattices, as well as the maximal dimension in \(M\)-lattices. | en |
| dc.language.iso | en | |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;3 | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | modular lattice | en |
| dc.subject | hollow dimension | en |
| dc.subject | Kurosh-Ore dimension | en |
| dc.title | On Generalization of Modular Lattices | en |
| dc.type | Article | |
| dc.page.number | 447-469 | |
| dc.contributor.authorAffiliation | University of Białystok, Faculty of Mathematics | en |
| dc.identifier.eissn | 2449-836X | |
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| dc.contributor.authorEmail | stocka@math.uwb.edu.pl | |
| dc.identifier.doi | 10.18778/0138-0680.2025.15 | |
| dc.relation.volume | 54 |
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