Abstract
We investigate the transfer of the directed unions of Artinian subrings property from a commutative ring to another under various aspects.
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Notes
A ring \(R\) is said to be semi-quasilocal if it has finitely many maximal ideals.
References
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Karim, D. On the transfer of the notion directed union of Artinian subrings. Beitr Algebra Geom 56, 743–758 (2015). https://doi.org/10.1007/s13366-014-0231-5
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DOI: https://doi.org/10.1007/s13366-014-0231-5
Keywords
- Artinian ring
- Directed union of Artinain Subrings
- Infinite product
- Residue fields
- Von Neumann regular ring
- Zero-dimensional ring