The largest proper regular ideal of S ( X )

Kenneth D., Jr. Magill

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 1, page 73-82
  • ISSN: 0011-4642

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Magill, Kenneth D., Jr.. "The largest proper regular ideal of $S(X)$." Czechoslovak Mathematical Journal 46.1 (1996): 73-82. <http://eudml.org/doc/30289>.

@article{Magill1996,
author = {Magill, Kenneth D., Jr.},
journal = {Czechoslovak Mathematical Journal},
keywords = {regular semigroups; semigroup ideals; endomorphism monoids; completely regular Hausdorff spaces; realcompact 0-dimensional Hausdorff spaces; semigroups of continuous selfmaps; maximal subgroups; Green relations},
language = {eng},
number = {1},
pages = {73-82},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The largest proper regular ideal of $S(X)$},
url = {http://eudml.org/doc/30289},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Magill, Kenneth D., Jr.
TI - The largest proper regular ideal of $S(X)$
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 1
SP - 73
EP - 82
LA - eng
KW - regular semigroups; semigroup ideals; endomorphism monoids; completely regular Hausdorff spaces; realcompact 0-dimensional Hausdorff spaces; semigroups of continuous selfmaps; maximal subgroups; Green relations
UR - http://eudml.org/doc/30289
ER -

References

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  1. Rings of continuous functions, D. Van Nostrand Co., Inc., New York, 1966. (1966) MR0116199
  2. The maximal regular ideal of the semigroup of binary relations, Czech. Math. J. 31 (1981), 194–198. (1981) MR0611074
  3. Topology, Vol 1, Academic Press, New York, 1966. (1966) MR0217751
  4. 10.1017/S0017089500003670, Glasgow Math. J. 20 (1979), 25–28. (1979) MR0523784DOI10.1017/S0017089500003670
  5. Green’s equivalences and related concepts for semigroups of continuous selfmaps, Proc. Summer Conf. on Gen. Top. and App. (in honor of Mary Ellen Rudin) June 26–29, 1991, Papers on General Topology and Applications, Annals of the New York Acad. of Sci. 704 (1993), 246–268. (1993) Zbl0807.54032MR1277861
  6. 10.4153/CJM-1974-144-x, Can. J. Math. 26 (1974), 1484–1497. (1974) MR0374309DOI10.4153/CJM-1974-144-x

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