Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Acta Math Hungar

Search In Journal Title:

Abbravation: Acta Mathematica Hungarica

Search In Journal Abbravation:

Publisher

Springer Netherlands

Search In Publisher:

DOI

10.1002/chin.200035253

Search In DOI:

ISSN

1588-2632

Search In ISSN:
Search In Title Of Papers:

Veldsman’s classes of associative rings

Authors: M Nowakowska E R Puczyłowski
Publish Date: 2015/05/08
Volume: 146, Issue: 2, Pages: 466-495
PDF Link

Abstract

The relation of being an ideal left ideal right ideal of a ring is not transitive Rings for which the transitivity does hold are called filial left filial right filial In symbols these are rings R such that if AαB and BαR then AαR where α is the respective relation In 24 Veldsman introduced for each triple α β γ of these relations the class of rings R which satisfy if AαB and BβR then AγR He found some relationships among so defined classes and characterized rings in each of them Our aim in this paper is to study the structure of rings in these classes We observe that one can select three from among them which are fundamental in the sense that results obtained for them together with those known for left filial rings give structure theorems for rings in all classes Then we study the structure of rings in so selected three classes Our main results concern the prime and generalized nil radicals of such rings and reduced rings in these classes We also get many related results and ask several questions

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Weightable quasi-uniformities
  2. Rings of quotients of some infinite dimensional path algebras
  3. The Baum–Katz theorem for dependent sequences
  4. On complete convergence in mean for double sums of independent random elements in Banach spaces
  5. A note on the generalized rank reduction
  6. Existence and optimality of w -non-adjacent forms with an algebraic integer base
  7. Atomic decompositions of martingale hardy–morrey spaces
  8. A characterization of polyharmonic functions
  9. A note on invariant sets of iterated function systems
  10. On complete convergence and the strong law of large numbers for pairwise independent random variables
  11. Polynomial approximation with an exponential weight on the real semiaxis
  12. Best L 1 Approximation of Truncated Functions, Whitney-Type and Borh–Favard-Type Inequalities
  13. On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces
  14. A categorical approach to absolute closure
  15. Planar zero divisor graphs of partially ordered sets
  16. On a problem in additive number theory
  17. On powers of relational and algebraic systems
  18. Inequalities for entire functions of exponential type satisfying $$ f(z) \equiv e^{i\gamma } e^{i\tau z} \overline {f(\bar z)} $$
  19. Local stability of a generalized Cauchy equation in Banach spaces
  20. A note on W - I -continuous functions
  21. A Remark on The Geometry of Spaces of Functions with Prime Frequencies
  22. Hua’s theorem with nine almost equal prime variables
  23. A weak type inequality for the maximal operator of ( C, α )-means of Fourier series with respect to the Walsh-Kaczmarz system
  24. Unification of generalized open sets on topological spaces
Search Result: