Just a simple question. What does Eisenbud mean by ( x : y ) where x , y

Kaeden Hoffman 2022-07-10 Answered
Just a simple question. What does Eisenbud mean by ( x : y ) where x , y R a ring. An example on this is in the section 17 discussing the homology of the koszul complex. I assume it's something along the lines of { r a x = r y } for some a R.
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Answers (1)

Jamiya Costa
Answered 2022-07-11 Author has 18 answers
Eisenbud introduces this notation in section 0.3. If I and J are two ideals in R, then
( I : J ) = { r R r J I } .
In this case, I = ( x ), J = ( y ).
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