Skip to main content
SpringerLink
Log in

Some results on annihilation in algebras

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

Si dimostrano alcuni risultati sulle algebreR sopra un campoF. SiaL≠0 un ideale sinistro diR; allora si definisceG (L) medianteG (L)={aεR|a a,u (u)=0 per ogniu ε L, dovep a,u (t)≠0εF[t]}. Il risultato principale asserisce cheG(L)L è un ideale sinistro algebrico sopraF. Questo rende più preciso un teorema dimostrato da Bergen e Herstein in [1].

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. Bergen J., Herstein I. N.,The algebraic hypercenter of a ring and some applications, (to appear in Journal of Algebra).

  2. Herstein I. N.,Invariant subrings of a certain kind, Israel Journal Math.,26 (1977), 205–208.

    Article  MATH  MathSciNet  Google Scholar 

  3. Herstein I. N.,A theorem on invariant subrings, (to appear in Journal of Algebra).

  4. Herstein I. N.,Topics in Ring Theory, Chicago Lecture Notes in Mathematics, Univ. of Chicago Press, 1969.

  5. Herstein I. N.,Non-Commutative Rings, Carus Monograph 15, Math. Assoc. of America, 1968.

Download references

Author information

Authors and Affiliations

  1. University of Chicago, 60637, Chicago, Ill.

    I. N. Herstein

Authors
  1. I. N. Herstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported by NSF grant MCS-8102427 at the University of Chicago.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herstein, I.N. Some results on annihilation in algebras. Rend. Circ. Mat. Palermo 32, 330–335 (1983). https://doi.org/10.1007/BF02848537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02848537

Keywords

Search

Navigation