Skip to main content

WLR-Normal Cryptogroups and LR-Regular Semigroups

  • Conference paper
Advances in Automation and Robotics, Vol. 2

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 123))

  • 2229 Accesses

Abstract

In this paper, we define the WLR-normal band, WLR-normal cryptogroup and LR-regular semigroup. We give some equivalent conditions for a completely regular semigroup to be a WLR-normal cryptogroup and give the characterization of LR-regular 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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. Petrich, M., Reilly, N.: Completely regular semigroups. Wiley, New York (1999)

    MATH  Google Scholar 

  3. Clifford, A.H.: Bands of semigroups. Proc. Amer. Math. 42, 499–504 (1941)

    MathSciNet  Google Scholar 

  4. Stojan, B.: Semigroups with a system of subsemigroups. Trans. Am. Math. Soc. 189, 211–236 (1974)

    Article  Google Scholar 

  5. Kong, X.Z.: Completely regular semigroups with generalized strong semilattice decompositions. Algebra Colloquium 12(2), 269–280 (2005)

    MathSciNet  MATH  Google Scholar 

  6. Zhang, J.G., Song, G.T., Liu, G.X.: WLR-regular orthgroups. Semigroup Forum 77, 463–473 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Guo, Y.Q., Shum, K.P., Sen, M.K.: LR-normal orthgroups. Chin. Sci. Bull. 35(12), 1384–1396 (2005)

    Google Scholar 

  8. Du, A.H., Liu, Y.: Weak LR-bands. Shandong Sci. 18(2), 1–5 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, A., Wang, L., Li, Y. (2011). WLR-Normal Cryptogroups and LR-Regular Semigroups. In: Lee, G. (eds) Advances in Automation and Robotics, Vol. 2. Lecture Notes in Electrical Engineering, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25646-2_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25646-2_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25645-5

  • Online ISBN: 978-3-642-25646-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics