Skip to main content

LeftRight Clifford Semigroups

  • Conference paper
  • First Online:
Semigroups, Algebras and Operator Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 142))

  • 829 Accesses

Abstract

Clifford semigroups are certain interesting class semigroups and looking for regular semigroups close to this is natural. Here we discuss the leftright Clifford semigroups.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Clifford, A.H.: Semigroups admitting relative inverse. Ann. Math 42, 1037–1049 (1942)

    Article  MathSciNet  Google Scholar 

  2. Clifford, A.H., Petrich, M.: Some classes of completely regular semigroups. J. Algebra 46, 462–480 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  3. Guo, Y.Q.: Structure of the weakly left C-semigroups. Chin. Sci. Bull. 41, 462–467 (1996)

    MATH  Google Scholar 

  4. Guo, Y.Q., Shum, K.P., Sen, M.K.: LR-normal orthogroups. Sci. China. Ser. A Math. 49(3), 330–341 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Petrich, M.: The structure of completely regular semigroups. Trans. Amer. Math. Soc. 189, 211–236 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  6. Petrich, M.: A structure theorem for completely regular semigroups. Proc. Amer. Math. Soc. 99, 617–622 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  7. Petrich, M., Reilly, N.R.: Completely Regular Semigroups. Wiley, New York (1999)

    MATH  Google Scholar 

  8. Howie, J.M.: An Introduction to Semigroup Theory. Academic Press, London (1976)

    MATH  Google Scholar 

  9. Kimura, N.: The structure of idempotent semigroups(1). Pacific J. Math. 8, 257–275 (1958)

    Article  MATH  MathSciNet  Google Scholar 

  10. Sen, M.K., Ren, X.M., Shum, K.P.: A new structure theorem of LC- semigroups and a method for construction. Int. Math J. 3(3), 283–295 (2003)

    MATH  MathSciNet  Google Scholar 

  11. Sen, M.K., Ghosh, S., Pal, S.: On a class of subdirect products of left and right clifford semigroups. Commun. Algebra. 32(7), 2609–2615 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Yamada, M.: Orthodox semigroups whose idempotents satisfy a certain identity. Semigroup Forum 6, 113128 (1973)

    Google Scholar 

  13. Zhu, P.Y., Guo, Y.Q., Shum, K.P.: Structure and characteristics of left Clifford semigroups. Sci. China. Ser. A 35(7), 791–805 (1992)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. K. Sen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer India

About this paper

Cite this paper

Sen, M.K. (2015). LeftRight Clifford Semigroups. In: Romeo, P., Meakin, J., Rajan, A. (eds) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 142. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2488-4_4

Download citation

Publish with us

Policies and ethics