Gcd domains¶
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class
sage.categories.gcd_domains.
GcdDomains
(s=None)¶ Bases:
sage.categories.category_singleton.Category_singleton
The category of gcd domains domains where gcd can be computed but where there is no guarantee of factorisation into irreducibles
EXAMPLES:
sage: GcdDomains() Category of gcd domains sage: GcdDomains().super_categories() [Category of integral domains]
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class
ElementMethods
¶ Bases:
object
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class
ParentMethods
¶ Bases:
object
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additional_structure
()¶ Return
None
.Indeed, the category of gcd domains defines no additional structure: a ring morphism between two gcd domains is a gcd domain morphism.
See also
EXAMPLES:
sage: GcdDomains().additional_structure()
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super_categories
()¶ EXAMPLES:
sage: GcdDomains().super_categories() [Category of integral domains]
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class