Prime ideals and sheaf representation of a pseudo symmetric ring

@article{Shin1973PrimeIA,
  title={Prime ideals and sheaf representation of a pseudo symmetric ring},
  author={Gooyong Shin},
  journal={Transactions of the American Mathematical Society},
  year={1973},
  volume={184},
  pages={43-60}
}
  • Gooyong Shin
  • Published 1973
  • Mathematics
  • Transactions of the American Mathematical Society
Almost symmetric rings and pseudo symmetric rings are introduced. The classes of symmetric rings, of almost symmetric rings, and of pseudo symmetric rings are in a strictly increasing order. A sheaf representation is obtained for pseudo symmetric rings, similar to the cases of symmetric rings, semiprime rings, and strongly harmonic rings. Minimal prime ideals of a pseudo symmetric ring have the same characterization, due to J. Kist, as for the commutative case. A characterization is obtained… Expand
Ideal-Symmetric and Semiprime Rings
Basic examples and extensions of symmetric rings
Generalized quasi-Baer -rings and Banach -algebras
STRUCTURE OF IDEMPOTENTS IN RINGS WITHOUT IDENTITY
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 16 REFERENCES
The Space of Minimal Prime Ideals of a Commutative Ring
Rings of continuous functions
On functional representations of a ring without nilpotent elements
Some conditions on commutative semiprime rings
Representation of rings by sections
On the representation of modules by sheaves of factor modules
...
1
2
...