जोखिमों की विभिन्न श्रेणियाँ क्या हैं?
जोखिम किसी भी उद्यमिता और लघु व्यवसाय का एक अहम हिस्सा होता है। उद्यमी जब नया व्यवसाय शुरू करता है, तो उसे कई प्रकार के जोखिमों का सामना करना पड़ता है। ये जोखिम विभिन्न श्रेणियों में विभाजित किए जा सकते हैं।
पहला, वित्तीय जोखिम। जब उद्यमी पूंजी निवेश करता है, चाहे वो अपनी बचत से __________ _____ ___ ___ ___.
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Let R be a ring in which a² = a for all a ∈ R. Show that a = -a and R is commutative.
Check whether R is a subring of
? Justify your answer
Which of the following statements are true and which are false? Justify your answer with a short proof or a counter example.
(a) Every subgroup of S3 is normal.
(b) Every abelian group is cyclic.
(c) In a ring with unity, the sum of any two units is a unit.
(d) If a field has characteristic p, p a prime, the field is finite.
(e) If every element in group has finite order, the group is finite.
Define a semigroup. Give an example of an infinite semigroup.
Define an abelian group. Give an example of a non-abelian group. (You don't need to prove that your example is a group. You have to only prove that it is non-abelian.)
Define a semigroup. Give an example of an infinite semigroup.
Show that, if G is a finite group and Further, show that
Deduce the Euler-Fermat theorem