sage: GF(2).categories() [Join of Category of finite fields and Category of subquotients of monoids and Category of quotients of semigroups, Category of finite fields, Category of fields, Category of euclidean domains, Category of division rings, Category of principal ideal domains, Category of unique factorization domains, Category of gcd domains, Category of integral domains, Category of domains, Category of finite commutative rings, Category of commutative rings, Category of rings, Category of rngs, Category of semirings, Category of associative additive commutative additive associative additive unital distributive magmas and additive magmas, Category of additive commutative additive associative additive unital distributive magmas and additive magmas, Category of additive commutative additive associative distributive magmas and additive magmas, Category of additive associative distributive magmas and additive magmas, Category of distributive magmas and additive magmas, Category of magmas and additive magmas, Category of finite monoids, Category of subquotients of monoids, Category of commutative monoids, Category of monoids, Category of finite semigroups, Category of quotients of semigroups, Category of subquotients of semigroups, Category of semigroups, Category of subquotients of magmas, Category of commutative magmas, Category of unital magmas, Category of magmas, Category of commutative additive groups, Category of additive groups, Category of additive inverse additive unital additive magmas, Category of commutative additive monoids, Category of additive monoids, Category of additive unital additive magmas, Category of commutative additive semigroups, Category of additive commutative additive magmas, Category of additive semigroups, Category of additive magmas, Category of finite enumerated sets, Category of enumerated sets, Category of finite sets, Category of quotients of sets, Category of subquotients of sets, Category of sets, Category of sets with partial maps, Category of objects]
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