Positive rational semigroups and commutative power joined cancellative semigroups without idempotent

Morio Sasaki; Takayuki Tamura

Czechoslovak Mathematical Journal (1971)

  • Volume: 21, Issue: 4, page 567-576
  • ISSN: 0011-4642

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Sasaki, Morio, and Tamura, Takayuki. "Positive rational semigroups and commutative power joined cancellative semigroups without idempotent." Czechoslovak Mathematical Journal 21.4 (1971): 567-576. <http://eudml.org/doc/12619>.

@article{Sasaki1971,
author = {Sasaki, Morio, Tamura, Takayuki},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {567-576},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Positive rational semigroups and commutative power joined cancellative semigroups without idempotent},
url = {http://eudml.org/doc/12619},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Sasaki, Morio
AU - Tamura, Takayuki
TI - Positive rational semigroups and commutative power joined cancellative semigroups without idempotent
JO - Czechoslovak Mathematical Journal
PY - 1971
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 21
IS - 4
SP - 567
EP - 576
LA - eng
UR - http://eudml.org/doc/12619
ER -

References

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  1. J. L. Chrislock, The structure of archimedean semigroups, thesis, Univ. of Calif., Davis. 1966. (1966) 
  2. J. L. Chrislock, 10.1016/0021-8693(69)90013-1, J. Algebra 12 (1969), 1 - 9. (1969) Zbl0187.29102MR0237685DOI10.1016/0021-8693(69)90013-1
  3. A. H. Clifford, G. B. Preston, The algebraic theory of semigroups, Vol. 1, Survey 7, Amer. Math. Soc., Providence, R. I., 1961. (1961) Zbl0111.03403MR0132791
  4. J. С. Higgins, Finitely generated commutative archimedean semigroups without idempotent;, thesis, Univ. of Calif., Davis, 1966. (1966) 
  5. J. С. Higgins, 10.1017/S0004972700041320, Bull. Australian Math. Soc., Vol. 1, 1969, 115-126. (1969) Zbl0169.33302MR0248252DOI10.1017/S0004972700041320
  6. R. Levin, T. Tamura, On locally cyclic semigroups, Proc. Japan Acad. 42, 4 (1966), 376-379. (1966) Zbl0166.27701MR0204561
  7. M. Petrich, On the structure of a class of commutative semigroups, Czech. Math. J. 14 (1964), 147-152. (1964) Zbl0143.03403MR0166284
  8. L. Rédei, The theory of finitely generated commutative semigroups, Pergamon Press, 1965. (1965) MR0188322
  9. T. Tamura, Commutative nonpotent archimedean semigroups with cancellation law 1, Journ. of Gakugei, Tokushima Univ., 8 (1957), 5-11. (1957) MR0096741
  10. T. Tamura, Abelian groups and -semigroups, Proc. Japan Acad., 46 (1970), 212-216. (1970) MR0274618

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