Ring structure common to all steroids

Advice: If your 'sentence' is a dependent clause, or it doesn't contain both a subject and a predicate, then it is not a proper sentence. You can often detect fragments if you read your writing backwards sentence by sentence, . from the last sentence to the first one. You can usually correct a fragment by connecting it to the sentence before or after it.

Good writers, who have a full understanding of the sentence, occasionally choose to write a sentence fragment. So you may see sentence fragments in the fiction or even some of the non-fiction you read. As an ESL student, however, you should avoid fragments (except when writing your own creative stories).

For a ring R , the smallest subring containing 1 is called the characteristic subring of R . It can be obtained by adding copies of 1 and −1 together many times in any mixture. It is possible that n ⋅ 1 = 1 + 1 + … + 1 {\displaystyle n\cdot 1=1+1+\ldots +1} ( n times) can be zero. If n is the smallest positive integer such that this occurs, then n is called the characteristic of R . In some rings, n ⋅ 1 {\displaystyle n\cdot 1} is never zero for any positive integer n , and those rings are said to have characteristic zero .

Ring structure common to all steroids

ring structure common to all steroids

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