Characterizations of dual semigroups

Chi Keung Lai; Kar-Ping Shum

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 4, page 578-584
  • ISSN: 0011-4642

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Lai, Chi Keung, and Shum, Kar-Ping. "Characterizations of dual semigroups." Czechoslovak Mathematical Journal 39.4 (1989): 578-584. <http://eudml.org/doc/13803>.

@article{Lai1989,
author = {Lai, Chi Keung, Shum, Kar-Ping},
journal = {Czechoslovak Mathematical Journal},
keywords = {left annihilators; right ideals; left ideals; dual semigroups; nilpotent elements; 0-direct unions of Brandt semigroups},
language = {eng},
number = {4},
pages = {578-584},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizations of dual semigroups},
url = {http://eudml.org/doc/13803},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Lai, Chi Keung
AU - Shum, Kar-Ping
TI - Characterizations of dual semigroups
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 578
EP - 584
LA - eng
KW - left annihilators; right ideals; left ideals; dual semigroups; nilpotent elements; 0-direct unions of Brandt semigroups
UR - http://eudml.org/doc/13803
ER -

References

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  1. A. H. Clifford G. B. Preston, The algebraic theory of semigroups II, Amer.Math. Soc., Providence, (1967). (1967) MR0218472
  2. L. Márki, Structure theorems on certain regular and inverse semigroups, Czechoslovak Math. J. 27 (1977), 388-393. (1977) MR0444816
  3. Št. Schwarz, On dual semigroups, Czechoslovak Math. J. 10 (1960), 201-230. (1960) Zbl0098.01602MR0117294
  4. Št. Schwarz, On the structure of dual semigroups, Czechoslovak Math. J. 21 (1971), 461-483. (1971) Zbl0232.20116MR0292982
  5. Št. Schwarz, Prime ideals and maximal ideals in semigroups, Czechoslovak Math. J. 19 (1969),72-79. (1969) Zbl0176.29503MR0237680
  6. Št. Schwarz, Any 0 -simple dual semigroup is completely 0 -simple, semigroup forum 2 (1971), 90-92. (1971) MR0281819
  7. O. Steinfeld, 10.1007/BF02194649, Semigroup Forum 14 (1977), 1-5. (1977) Zbl0393.20045MR0442123DOI10.1007/BF02194649
  8. O. Steinfeld, Quasi-ideals in Rings and Semigroups, Akademiai Kiado Budapest, (1978). (1978) Zbl0403.16001MR0521258

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