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See Also: quotient of ideals, product of ideals, least common multiple, two-generator property, submodule, algebraic lattice, lattice of ideals, maximal ideal is prime, any divisor is gcd of two principal divisors
| Other names: |
greatest common divisor of ideals |
| Also defines: |
sum ideal, addition of ideals, factor of ideal, greatest common divisor of ideals, least common multiple of ideals |
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Cross-references: algebraic lattice, greatest lower bound, least upper bound, lattice, partially ordered set, intersection, greatest common divisor, contained, iff, divisor, factor, finite, sum, right, ideals
There are 7 references to this entry.
This is version 16 of sum of ideals, born on 2004-09-29, modified 2008-04-16.
Object id is 6250, canonical name is SumOfIdeals.
Accessed 6743 times total.
Classification:
| AMS MSC: | 08A99 (General algebraic systems :: Algebraic structures :: Miscellaneous) | | | 16D25 (Associative rings and algebras :: Modules, bimodules and ideals :: Ideals) | | | 13C99 (Commutative rings and algebras :: Theory of modules and ideals :: Miscellaneous) |
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Pending Errata and Addenda
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