Critical points between varieties generated by subspace lattices of vector spaces |
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| Authors: | Pierre Gillibert |
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| Affiliation: | LMNO, CNRS UMR 6139, Département de Mathématiques, BP 5186, Université de Caen, Campus 2, 14032 Caen cedex, France Charles University in Prague, Faculty of Mathematics and Physics, Department of Algebra, Sokolovska 83, 186 00 Prague, Czech Republic |
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| Abstract: | We denote by  the semilattice of all compact congruences of an algebra A. Given a variety V of algebras, we denote by  the class of all semilattices isomorphic to  for some A∈V. Given varieties V and W of algebras, the critical point of V under W is defined as  . Given a finitely generated variety V of modular lattices, we obtain an integer ?, depending on V, such that  for any n≥? and any field F.In a second part, using tools introduced in Gillibert (2009) [5], we prove that: |
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| Keywords: | Primary, 08A30 Secondary, 16E50, 51D25, 06B20 |
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