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Yes, the direct sum of injective modules is indeed an injective module. This follows from the fact that a module ( M ) is injective if for every module ( N ) and every submodule ( K ) of ( N ), every homomorphism from ( K ) to ( M ) can be extended to a homomorphism from ( N ) to ( M ). Since the direct sum of injective modules retains this property, the direct sum itself is injective.
What else can I help you with?
How do you do sums?
The answer will depend on what kind of sums.
What are all the sums that make 24?
all the sums are 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,and 24
How many odd sums can you get from rolling two dice?
There are 9 odd sums that you can get from rolling two dice.
Without adding, find which sum is greater.A+HNeither; the sums are equalE+C?
Neither; the sums are equal.
What sums up all the evidence and research in an experiment?
The team of researchers which is writing up a report sums them up.
Any direct sums of torsion modules is a tortion module?
The answer is yes. providing that the modules are over acommutative ring with no zero divisors.
How do you do sums?
The answer will depend on what kind of sums.
What are all the sums that make 24?
all the sums are 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,and 24
How is the mean calculated?
Add all the sums, then divide by the number of sums. (ie. the average.)
Emily worked out all the sums in her head?
Emily worked out all the sums mentally.
How many different sums can you make from 5 numbers?
you can make at least 25 sums
Which is the only number which is equal to the sum of its digits?
Well, 1 is equal to 1. 9 is equal to 9. So any number from 0 to 9. I do not think this is what is meant by the question. If you mean any number with more than one digit. There is no such number. Because 11 sums to 2. 19 sums to 10. 21 sums to 3. 29 sums to 11. 111 sums 3. 119 sums to 11. The sums do not grow as fast the increase of digits.
How do you get money without a job on sums 3 ambitions iPod touch?
What is sums? Is it sims 3
How many odd sums can you get from rolling two dice?
There are 9 odd sums that you can get from rolling two dice.
What are the answers to the magic sums in The 39 Clues?
The sums are: 1: 15 2: 34 3: 42
What two sums can you get for 120?
to get the two sums of 120 you multiply twenty times six (20x6=120)
Without adding, find which sum is greater.A+HNeither; the sums are equalE+C?
Neither; the sums are equal.
