### Some articles on *fractional ideal, ideals, fractional ideals*:

Dedekind Domain - Fractional Ideals and The Class Group

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**fractional ideal**is a nonzero R-submodule I of K for which there exists a nonzero x in K such that (We remark that this is not exactly the same as the definition given on the ... integral**ideals**—**fractional ideals**.) Given two**fractional ideals**I and J, one defines their product IJ as the set of all finite sums the product IJ is again a**fractional ideal**... The set Frac(R) of all**fractional ideals**endowed with the above product is a commutative semigroup and in fact a monoid the identity element is the**fractional ideal**R ...### Famous quotes containing the words ideals, principal and/or fractional:

“War is pillage versus resistance and if illusions of magnitude could be transmuted into *ideals* of magnanimity, peace might be realized.”

—Marianne Moore (1887–1972)

“In our country today, very few children are raised to believe that their *principal* destiny is to serve their family, their country, or God.”

—Benjamin Spock (b. 1903)

“Hummingbird

stay for a *fractional* sharp

sweetness, and’s gone, can’t take

more than that.”

—Denise Levertov (b. 1923)

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