Category: Mod(Ab)

Mod(Ab) is the category whose objects are modules of monoids in Ab (rings) and arrows are module maps.

Facts Derived from Enrichment

Mod(Ab) has a zero morphism between any two objects (enriched in Set*).

Every object in Mod(Ab) is a ring (enriched in Ab).

Notable Subcategories

• Alg(Ab) (monoids)
• CommAlg(Ab) (commutative monoids)
• Vect_k (full)

Limits

Has a terminal object which is a zero object

Colimits

Has an initial object which is a zero object

categories: Mod(Ab)

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