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This tag is used if a reference is needed in a paper or textbook on a specific result.

6 votes
1 answer
202 views

Resource on how the definitions of subobjects for various categories can vary

I am looking for a reference on the different possible definitions of subobjects. According to a particular friend of mine, subobjects should be at least monomorphisms (up to slice isomorphism) and at …
Keith's user avatar
  • 591
1 vote
0 answers
167 views

Isomorphism classes of finite $\mathbb{N}$-groups

Where can I find resources on isomorphism classes of finite $\mathbb{N}$-groups, i.e. groups acted on by the monoid $(\mathbb{N}, +)$? I edited this question to be more focused on what I'm interested …
Keith's user avatar
  • 591
11 votes
0 answers
399 views

Is there a theory of completions of semirings similar to $I$-adic completions of rings?

Let $L = \text{Con } (\mathbb{N}, 0, +) \setminus \Delta$ be the lattice of monoid congruences on the naturals, excluding the trivial congruence. As it happens, every $\theta \in L$ is the meet of som …
Keith's user avatar
  • 591