Question
र्शाइए कि यदि या
, तो
, जहां
.
Answer :
Word Count : 167
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__________.
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मान लीजिए कि 5 ∤ a या 5 ∤ b. प्रतिलोम सिद्धांत द्वारा प्रमाण करेंगे। मान लें कि 5 | (a² − 2b²). तब a² ≡ 2b² (mod 5). अब 5 के सापेक्ष किसी भी पूर्णांक का वर्ग केवल 0, 1 या 4 के तुल्य होता है। अतः a² ≡ 0,1,4 (mod
_____ ______ _____ ________ ____ _______.___ ___ _________ ____ ___ _____ ___ ___ ___ ______ __________.
_____ __________ _______ ___ _____.
_____ _____ __________ ___ ________.
____ _______ _____ _____ ___ _____ __________ _________ ___.
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___ ____ _________ ___ ____ __________ _________ _____ ________ ______ _______.
____ __________ _______ ___ _______ ____ ______ _______ _________ ___.
_____ _____ ________ _________ __________ __________ ______ ___ _______ ______ ______ _________.
_____ _________ ______ ______ ______.
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_____ _________ ___ ___ ___ __________ _______ ____ _____.
___ __________ ______ ____ _________.
______ ___ _______ ___ ______ ___.
__________.
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Related Questions
heck whether is a subring of the ring
or not. If it is, check whether or not it is an ideal of the ring also. If I is not a subring of the ring, then provide a subring of the ring.
दर्शाइए कि M, R की एक गुणजावली है।
जाँच कीजिए कि (X, ) एक समूह है या नहीं।
जाँच कीजिए कि वलय
का एक उपवलय है या नहीं। यदि है, तो जाँच कीजिए कि वह इस वलय की एक गुणजावली भी है या नहीं। यदि I इस वलय का एक उपवलय नहीं है, तो इस वलय का एक उपवलय दीजिए।
Show that if or
, then
, for
.
Let G be a group such that is cyclic. Prove that G is abelian.
Hence show that if N is an ideal of R properly containing M, then .