Rees ideal algebras

Ivan Chajda

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 2, page 125-130
  • ISSN: 0862-7959

Abstract

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We describe algebras and varieties for which every ideal is a kernel of a one-block congruence.

How to cite

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Chajda, Ivan. "Rees ideal algebras." Mathematica Bohemica 122.2 (1997): 125-130. <http://eudml.org/doc/248121>.

@article{Chajda1997,
abstract = {We describe algebras and varieties for which every ideal is a kernel of a one-block congruence.},
author = {Chajda, Ivan},
journal = {Mathematica Bohemica},
keywords = {ideal; Rees congruence; one-block congruence; Rees algebra; ideal; Rees congruence; one-block congruence; Rees algebra},
language = {eng},
number = {2},
pages = {125-130},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Rees ideal algebras},
url = {http://eudml.org/doc/248121},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Chajda, Ivan
TI - Rees ideal algebras
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 125
EP - 130
AB - We describe algebras and varieties for which every ideal is a kernel of a one-block congruence.
LA - eng
KW - ideal; Rees congruence; one-block congruence; Rees algebra; ideal; Rees congruence; one-block congruence; Rees algebra
UR - http://eudml.org/doc/248121
ER -

References

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  1. Chajda I., Duda J., Rees algebras and their varieties, Publ. Math. (Debrecen) 32 (1985), 17-22. (1985) Zbl0582.08003MR0810586
  2. Duda J., Rees sublattices of a lattice, Publ. Math. (Debrecen) 35 (1988), 77-82. (1988) Zbl0657.06010MR0971955
  3. Rees D., On semigroups, Proc. Cambridge Phil. Soc. 36 (1940), 387-400. (1940) MR0002893
  4. Szász G., Rees factor lattices, Publ. Math. (Debrecen) 15 (1968), 259-266. (1968) MR0234876
  5. Tichy R. F., The Rees congruences in universal algebras, Publ. Inst. Math. (Beograd) 29 (1981), 229-239. (1981) MR0657112
  6. Ursini A., Sulla varietá di algebra con una buona teoria degli ideali, Boll. U. M. I. (4) 6 (1972), 90-95. (1972) MR0314728

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