Semigroups and their natural order

Heinz Mitsch

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 4, page 445-462
  • ISSN: 0232-0525

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Mitsch, Heinz. "Semigroups and their natural order." Mathematica Slovaca 44.4 (1994): 445-462. <http://eudml.org/doc/32342>.

@article{Mitsch1994,
author = {Mitsch, Heinz},
journal = {Mathematica Slovaca},
keywords = {Green's lemma; natural partial order; regular semigroups; primitive congruences; retract extensions; strong semilattices},
language = {eng},
number = {4},
pages = {445-462},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Semigroups and their natural order},
url = {http://eudml.org/doc/32342},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Mitsch, Heinz
TI - Semigroups and their natural order
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 4
SP - 445
EP - 462
LA - eng
KW - Green's lemma; natural partial order; regular semigroups; primitive congruences; retract extensions; strong semilattices
UR - http://eudml.org/doc/32342
ER -

References

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  1. BLYTH T., GОMES G., On the compatibility of the natural partial order on a regular semigroup, Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 79-84. (1983) MR0700501
  2. CLIFFОRD A. H., PRESTОN G. B., The Algebraic Theory of Semigroups, Vol. I, II. Math. Surveys Monographs 7, Amer. Math. Soc, Providence, R.I., 1961, 1967. (1961) MR0132791
  3. FARÉS. N., Idempotents et D-classes dans les demigroupes et les anneaux, C.R. Acad. Sci. Paris 269 (1969), 341-343. (1969) MR0249532
  4. GREEN J. A., On the structure of semigroups, Ann. of Math. 54 (1951), 163-172. (1951) Zbl0043.25601MR0042380
  5. HARTWIG R., How to partially order regular elements, Math. Japon. 25 (1980), 1-13. (1980) Zbl0442.06006MR0571255
  6. HICKEY J., On variants of a semigroup, Bull. Austral. Math. Soc. 34 (1986), 447-459. (1986) Zbl0586.20030MR0866192
  7. HIGGINS P., Techniques of Semigroup Theory, Clarendon Press, Оxford, 1992. (1992) Zbl0744.20046MR1167445
  8. MITSCH H., A natural partial order for semigroups, Proc. Amer. Math. Soc. 97 (1986), 384-388. (1986) Zbl0596.06015MR0840614
  9. MITSCH H., Subdirect products of E-inversive semigroups, J. Austral. Math. Soc. Ser. A 48 (1990), 66-78. (1990) Zbl0691.20050MR1026837
  10. NAMBООRIPAD К. S., The natural partial order on a regular semigroup, Prоc. Edinburgh Math. Soc. (2) 23 (1980), 249-260. (1980) 
  11. PETRICH M., On extensions of semigroups determined by partial homomorphisms, Indag. Math. 28 (1966), 49-51. (1966) Zbl0136.26601MR0197610
  12. PETRICH M., Congruences on strong semilattices of regular, simple semigroups, Semigroup Fоrum 37 (1988), 167-199. (1988) Zbl0643.20041MR0938269
  13. PETRICH M., Introduction to Semigroups, Ch. E. Merill Publishing Company. Columbus, Ohio, 1973. (1973) Zbl0321.20037MR0393206
  14. VÁGNER V. V., Generalized groups, (Russian), Dokl. Akad. Nauk. SSSR (N.S.) 84 (1952), 1119-1122. (1952) MR0048425

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