A note on congruence kernels in ortholattices

Ivan Chajda

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 2, page 169-172
  • ISSN: 0862-7959

Abstract

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We characterize ideals of ortholattices which are congruence kernels. We show that every congruence class determines a kernel.

How to cite

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Chajda, Ivan. "A note on congruence kernels in ortholattices." Mathematica Bohemica 125.2 (2000): 169-172. <http://eudml.org/doc/248657>.

@article{Chajda2000,
abstract = {We characterize ideals of ortholattices which are congruence kernels. We show that every congruence class determines a kernel.},
author = {Chajda, Ivan},
journal = {Mathematica Bohemica},
keywords = {ortholattice; congruence; kernel; ideal; ortholattice; congruence; kernel; ideal},
language = {eng},
number = {2},
pages = {169-172},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on congruence kernels in ortholattices},
url = {http://eudml.org/doc/248657},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Chajda, Ivan
TI - A note on congruence kernels in ortholattices
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 2
SP - 169
EP - 172
AB - We characterize ideals of ortholattices which are congruence kernels. We show that every congruence class determines a kernel.
LA - eng
KW - ortholattice; congruence; kernel; ideal; ortholattice; congruence; kernel; ideal
UR - http://eudml.org/doc/248657
ER -

References

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  1. Beran L., Orthomodular lattices, Algebraic Approach. Academia, Praha, 1984. (1984) MR0785005
  2. Hashimoto J., Ideal theory for lattices, Math. Japon. 2 (1952), 149-186. (1952) Zbl0048.25903MR0057224
  3. Kalmbach B., Orthomodular Lattices, London Math. Soc. Monographs 18, Academic Press, London, 1983. (1983) Zbl0528.06012
  4. Maľcev A. I., On the general theory of algebraic systems, Mat. Sb. 35 (77) (1954), 3-20. (In Russian.) (1954) MR0065533

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