Skip to main content
SpringerLink
Log in

Topological Rings and Annihilator Conditions

  • Conference paper
  • First Online:
Mathematical Methods for Engineering Applications (ICMASE 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 384))

  • 415 Accesses

Abstract

We introduce the class of rings which is defined by certain annihilator conditions on projection invariant ideals. We obtain connections between the former class of rings and the class of dual rings. Examples illustrate our results.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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. Kaplansky, I.: Dual rings. Annals of mathematics, 689–701, (1948).

    Google Scholar 

  2. Hajarnavis, C.R., Norton, N.C.: On dual rings and their modules. Journal of Algebra, 93(2), 253–266, (1985).

    Google Scholar 

  3. Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Extensions of rings and modules. New York: Birkhäuser, (2013).

    Google Scholar 

  4. Fuchs, L.: Infinite Abelian Groups I, Academic Press, New York.

    Google Scholar 

  5. Kaplansky, I.: Rings of Operators, Benjamin, New York, (1965).

    Google Scholar 

  6. Warner, S.: Topological rings, Elsevier, (1993).

    Google Scholar 

  7. Clark, W.E.: Twisted matrix units semigroup algebras. Duke Mathematical Journal, 417–423, (1967).

    Google Scholar 

  8. Birkenmeier, G.F. Kara,Y. Tercan, A.: \(\pi \)-Baer rings. Journal of Algebra and Its Applications, 1719(2), 1850029, (2018).

    Google Scholar 

  9. Birkenmeier, G.F., Tercan, A., Yücel, C.C.: The extending condition relative to sets of submodules. Communications in Algebra, 42(2), 764–778, (2014).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Bursa Uludaḡ University, 16059, Bursa, Turkey

    Ebru Bitkin & Yeliz Kara

Authors
  1. Ebru Bitkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yeliz Kara
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Faculty of Arts and Sciences, Ankara Hacı Bayram Veli University, Ankara, Turkey

    Fatih Yilmaz

  2. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Araceli Queiruga-Dios

  3. Faculty of Sciences, University of Salamanca, Salamanca, Spain

    María Jesús Santos Sánchez

  4. Polytechnic Institute of Coimbra (ISEC), Coimbra, Portugal

    Deolinda Rasteiro

  5. Institute of Physical and Information Technologies (ITEFI), Spanish National Research Council (CSIC), Madrid, Spain

    Víctor Gayoso Martínez

  6. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Jesús Martín Vaquero

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bitkin, E., Kara, Y. (2022). Topological Rings and Annihilator Conditions. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_15

Download citation

Publish with us

Policies and ethics

Search

Navigation