Skip to main content
SpringerLink
Log in

Certain Categories Derived from Normal Categories

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

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

Abstract

Normal categories are essentially the category of principal left(right) ideals of a regular semigroup which are used in describing the structure of regular semigroups. Several associated categories can be derived from normal categories which are of interest.

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

Access this chapter

Log in via an institution
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. Grillet, P.A.: Structure of regular semigroups, I. A representation; II Cross-connections; III The reduced case, Semigroup Forum 8, 177–183, 254–265 (1974)

    Google Scholar 

  2. Howie, J.M.: Fundamentals of Semigroup Theory. Academic Press, New York (1995)

    MATH  Google Scholar 

  3. Lallement, G.: Semigroups and Combinatorial Applications. Wiley, New York (1979)

    MATH  Google Scholar 

  4. Lukose, S., Rajan, A.R.: Rings of normal cones. Indian J. Pure Appl. Math. 41(5), 663–681 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  5. Mac Lane, S.: Categories for the Working Mathematician. Springer, New York (1971)

    Book  MATH  Google Scholar 

  6. Nambooripad, K.S.S.: Structure of regular semigroups I. Mem. Am. Math. Soc. 224 (1979)

    Google Scholar 

  7. Nambooripad, K.S.S.: Theory of Cross Connections, vol. 38. Centre for Mathematical Sciences, Trivandrum (1984)

    Google Scholar 

  8. Rajan, A.R.: Ordered groupoids and normal categories. In: Shum, K.P., et al. (eds.) Proceedings of International Conference on Semigroups and its Related Topics. Springer, New York (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kerala, Thiruvananthapuram, 695581, Kerala, India

    A. R. Rajan

Authors
  1. A. R. Rajan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. R. Rajan .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Cochin University of Science and Technology (CUSAT), Kochi, Kerala, India

    P G Romeo

  2. Department of Mathematics, University of Nebraska, Lincoln, Nebraska, USA

    John. C Meakin

  3. Department of Mathematics, University of Kerala, Thiruvananthapuram, Kerala, India

    A R Rajan

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer India

About this paper

Cite this paper

Rajan, A.R. (2015). Certain Categories Derived from Normal Categories. 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_5

Download citation

Publish with us

Policies and ethics

Search

Navigation