Basic examples and extensions of symmetric rings

@article{Huh2005BasicEA,
  title={Basic examples and extensions of symmetric rings},
  author={Chan Huh and H. Kim and N. Kim and Yang Lee},
  journal={Journal of Pure and Applied Algebra},
  year={2005},
  volume={202},
  pages={154-167}
}
Abstract Symmetric rings were introduced by Lambek to unify sheaf representations of commutative rings and reduced rings. We continue the study of symmetric rings, discussing basic examples and extensions. From any given reduced ring we first construct a nonreduced symmetric ring, and observe the form of the minimal noncommutative symmetric ring of order 16 up to isomorphism. We next show that polynomial rings over symmetric rings need not be symmetric and that classical right quotient rings of… Expand
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References

SHOWING 1-10 OF 22 REFERENCES
Prime ideals and sheaf representation of a pseudo symmetric ring
Extensions of reversible rings
Lectures on rings and modules
A taxonomy of 2-primal rings
On strongly right bounded finite rings II
Near-rings in which each element is a power of itself
Armendariz Rings and Reduced Rings
...
1
2
3
...