On ideals consisting entirely of zero divisors
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Publication:4944410
DOI10.1080/00927870008826878zbMath0970.13002OpenAlexW2151926579MaRDI QIDQ4944410
F. Azarpanah, A. R. Aliabad, Omid Ali Shahny Karamzadeh
Publication date: 21 October 2001
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870008826878
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Imbeddability of a commutative ring in a finite-dimensional ring
- Essential ideals in \(C(X)\)
- z-ideals and prime ideals
- Two annihilator conditions:property(A)and(A.C.)
- Intersection of essential ideals in $C(X)$
- On a question of matlis
- A characterization off-rings in which the sum of semiprimel-ideals is semiprime and its consequences
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