Mathematics · Abstract Algebra
यदि UFD अद्वितीय गुणनखंडन प्रांत (Unique Factorization Domain) को दर्शाता है, ED यूक्लिडीय प्रांत (Euclidean Domain) को दर्शाता है, और PID मुख्य गुणजावली प्रांत (Principal Ideal Domain) को दर्शाता है, तो निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1&DoubleStruckCapitalZ;[√-7] एक PID है लेकिन UFD नहीं है।
- 2&DoubleStruckCapitalZ;[√-2] एक PID है लेकिन ED नहीं है।
- 3&DoubleStruckCapitalZ;[√-2] एक PID है।✓
- 4&DoubleStruckCapitalZ;[√-7] एक UFD है लेकिन ED नहीं है।
सही उत्तर देखें
&DoubleStruckCapitalZ;[√-2] एक PID है।
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