Skip to main content
SpringerLink
Log in

Subsemigroups of certain bands of nilpotent groups

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. Antonippillai F. Pastijn (1992) ArticleTitleSubsemigroups ofCompletely simple semigroups Pacific J. Math. 156 IssueID2 251–263 Occurrence Handle1186804

    MathSciNet  Google Scholar 

  2. A. Antonippillai (1997) ArticleTitleSubsemigroups of Bands of AbelianGroups Semigroup Forum 55 237–246 Occurrence Handle1457770 Occurrence Handle0885.20039 Occurrence Handle10.1007/PL00005926

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Fountain M. Petrich (1986) ArticleTitleCompletely 0-simplesemigroups of quotients J. Algebra 101 365–402 Occurrence Handle847166 Occurrence Handle0589.20041 Occurrence Handle10.1016/0021-8693(86)90200-0

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Fountain M. Petrich (1996) ArticleTitleOrders in Normal bands ofgroups Mathematik 43 295–319 Occurrence Handle1433277 Occurrence Handle0876.20038 Occurrence Handle10.1112/S0025579300011797

    Article  MathSciNet  MATH  Google Scholar 

  5. J. A. Gerhard (1970) ArticleTitleThe lattice of equational classes ofidempotent semigroups J. Algebra 15 195–224 Occurrence Handle263953 Occurrence Handle0194.02701 Occurrence Handle10.1016/0021-8693(70)90073-6

    Article  MathSciNet  MATH  Google Scholar 

  6. L. M. Gluskin (1971) ArticleTitleOb otdelimikh polugruppakh Izv.Vyssh. Uchebn. Zaved. Mat. 112 IssueID9 30–39 Occurrence Handle294536

    MathSciNet  Google Scholar 

  7. Gould, V., Orders in Semigroups, Contributions toGeneral Algebra, Vol.~5, Verlag Hölder-Pichler-Tempsky, Wien, 1987, pp. 163–169

  8. V. Gould (1990) ArticleTitleLeft orders in regular H-semigroupsII Glasgow Math. J. 32 95–108 Occurrence Handle1045090 Occurrence Handle0692.20049 Occurrence Handle10.1017/S0017089500009101

    Article  MathSciNet  MATH  Google Scholar 

  9. Grätzer, G., Universal Algebra, Springer-Verlag, NewYork, 1979

  10. E. Hewitt H.S. Zuckermann (1956) ArticleTitleThe l1-algebra ofa commutative semigroup Trans. Amer. Math. Soc. 83 70–79 Occurrence Handle81908 Occurrence Handle0072.12701

    MathSciNet  MATH  Google Scholar 

  11. Howie, J. M., An Introduction to Semigroup Theory, AcademicPress, New York, 1976

  12. N. Kimura (1958) ArticleTitleThe structure of idempotentsemigroups(I) Pacific J. Math. 8 257–275 Occurrence Handle102563 Occurrence Handle0084.02702

    MathSciNet  MATH  Google Scholar 

  13. A. I. Malcev (1953) ArticleTitleNil’potentnye polugruppy Uchen. Zap.Ivanovsk. Ped. In-ta 4 107–111 Occurrence Handle75959

    MathSciNet  Google Scholar 

  14. Malcev, A. I., Algebraic Systems, Springer-Verlag, Berlin,1973

  15. B. H. Neumann T. Taylor (1963) ArticleTitleSubsemigroups ofNilpotent groups Proc. Royal Soc.London Ser. A 274 1–4 Occurrence Handle159884 Occurrence Handle0115.02502 Occurrence Handle10.1098/rspa.1963.0110

    Article  MathSciNet  MATH  Google Scholar 

  16. Neumann, H., Varieties of Groups, Springer-Verlag, Berlin,1967

  17. M. Petrich (1971) ArticleTitleA construction and a classification ofbands Math. Nachr. 48 263–274 Occurrence Handle294542 Occurrence Handle0194.02702 Occurrence Handle10.1002/mana.19710480119

    Article  MathSciNet  MATH  Google Scholar 

  18. Petrich, M., Introduction to Semigroups, Merill,Columbus, Ohio, 1973

  19. M. Petrich (1973) ArticleTitleNormal bands of commutative cancellativesemigroups Duke Math. J. 40 17–32 Occurrence Handle311819 Occurrence Handle0272.20058 Occurrence Handle10.1215/S0012-7094-73-04003-9

    Article  MathSciNet  MATH  Google Scholar 

  20. M. Petrich (1977) ArticleTitleCertain varieties and quasivarieties ofcompletely regular semigroups Can. J. Math. XXIX IssueID6 1171–1197 Occurrence Handle492013 Occurrence Handle10.4153/CJM-1977-118-7

    Article  MathSciNet  Google Scholar 

  21. M. Petrich N. R. Reilly (1981) ArticleTitleVarieties of groups andof completely simple semigroups Bull. Austral. Math. Soc. 23 339–359 Occurrence Handle625177 Occurrence Handle0502.20033 Occurrence Handle10.1017/S0004972700007231

    Article  MathSciNet  MATH  Google Scholar 

  22. M. Petrich (1982) ArticleTitleOn the varieties of completely regularsemigroups Semigroup Forum 25 153–169 Occurrence Handle663176 Occurrence Handle0502.20034 Occurrence Handle10.1007/BF02573595

    Article  MathSciNet  MATH  Google Scholar 

  23. J. J. Streilein (1975) ArticleTitleAn embedding theorem for matrices ofcommutativecancellative semigroups Trans. Amer. Math. Soc. 208 127–140 Occurrence Handle374306 Occurrence Handle0313.20034 Occurrence Handle10.1090/S0002-9947-1975-0374306-9

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, 54751, Menomonie, WI, USA

    Anne Antonippillai

Authors
  1. Anne Antonippillai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anne Antonippillai.

Additional information

Communicated by John B. Fountain

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antonippillai, A. Subsemigroups of certain bands of nilpotent groups. Semigroup Forum 67, 388–410 (2003). https://doi.org/10.1007/s00233-001-0007-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00233-001-0007-8

Keywords

Search

Navigation