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On Locally Finite Modular Lattice Varieties of Finite Height

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Abstract

It is shown that the variety generated by a finite modular lattice has only finitely many locally finite covers.

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References

  1. Crawley, P., Dilworth, R.P.: Algebraic Theory of Lattices. Prentice Hall, Englewood Cliffs (1973)

    MATH  Google Scholar 

  2. Herrmann, C., Pickering, D., Roddy, M.: A geometric description of modular lattices. Algebra Univers. 31, 365–396 (1994)

    Article  MATH  Google Scholar 

  3. Hong, D.X.: Covering relations among lattice varieties. Pac. J. Math. 40, 575–603 (1972)

    MATH  Google Scholar 

  4. Jónsson, B.: Equational classes of lattices. Math. Scand. 22, 187–196 (1968)

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  5. Nation, J.B.: An approach to lattice varieties of finite height. Algebra Univers. 27, 521–543 (1990)

    Article  MATH  Google Scholar 

  6. Nation, J.B.: A counterexample to the finite height conjecture. Order 13, 1–9 (1996)

    Article  MATH  Google Scholar 

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Correspondence to Christian Herrmann.

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Herrmann, C., Nurakunov, A. On Locally Finite Modular Lattice Varieties of Finite Height. Order 24, 31–37 (2007). https://doi.org/10.1007/s11083-007-9056-2

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  • DOI: https://doi.org/10.1007/s11083-007-9056-2

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