Maximal ideals in the direct product of two semigroups

Robert J. Plemmons

Czechoslovak Mathematical Journal (1967)

  • Volume: 17, Issue: 2, page 257-260
  • ISSN: 0011-4642

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Plemmons, Robert J.. "Maximal ideals in the direct product of two semigroups." Czechoslovak Mathematical Journal 17.2 (1967): 257-260. <http://eudml.org/doc/12359>.

@article{Plemmons1967,
author = {Plemmons, Robert J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized groups, semigroups},
language = {eng},
number = {2},
pages = {257-260},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Maximal ideals in the direct product of two semigroups},
url = {http://eudml.org/doc/12359},
volume = {17},
year = {1967},
}

TY - JOUR
AU - Plemmons, Robert J.
TI - Maximal ideals in the direct product of two semigroups
JO - Czechoslovak Mathematical Journal
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 17
IS - 2
SP - 257
EP - 260
LA - eng
KW - generalized groups, semigroups
UR - http://eudml.org/doc/12359
ER -

References

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  1. A. H. Clifford, G. P. Preston, The Algebraic Theory of Semigroups, Vol. 1, Math. Surveys 7, Amer. Math. Soc., Providence, R. I., 1961. (1961) 
  2. I. Fabrici, Completely maximal elements in semigroups, Mat.-fyz. časopis, Slovensk. akad. vied, 13 (1963), 16-19. (1963) MR0155915
  3. J. Ivan, On the direct product of semigroups, Mat.-fyz. časopis, Slovensk. akad. vied, 3 (1953), 57-66. (1953) MR0062733
  4. J. Ivan, Simplicity and minimal ideals of a direct product of semigroups, Mat.-Fyz. Časopis, Slovensk. akad. vied, 13 (1963), 114-124. (1963) MR0159894
  5. M. Petrich, Prime ideals in the cartesian product of two semigroups, Czechoslovak Mathematical Journal, 12 (87) (1962), 150-152. (1962) MR0140597
  6. M. Petrich, 10.2140/pjm.1962.12.679, Pacific Journal of Mathematics, 12 (1962), 679-683. (1962) Zbl0118.03101MR0143825DOI10.2140/pjm.1962.12.679
  7. M. Petrich, Ideaux demi-premiers et Premiers du product cartesian d'un nombre fini de demigroups, C. R. Acad. Sc., 256 (1963), 3940-3943. (1963) MR0148774
  8. Š. Schwarz, On maximal ideals in the theory of semigroups II, Czechoslovak Mat. J., 3 (78), (1953), 365-383. (1953) MR0061592

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