/sci/ - Science & Math

>>	Anonymous Tue Mar 31 13:44:46 2015 No.7164654 [View] File: 75 KB, 344x500, chinese_remainder_theorem.jpg [View same] [iqdb] [saucenao] [google] >>7164638 >tfw same here

Category of Finitely-Generated Abelian Groups Anonymous Sun Mar 1 16:53:35 2015 No.7101413 [View]
File: 75 KB, 344x500, chinese_remainder_theorem.jpg [View same] [iqdb] [saucenao] [google]

Hey /sci/, I know I have some fellow Category Theory fags here. I was wondering if any of you know of anything in the literature about the category of finitely-generated abelian groups (with morphisms just group homomorphisms)? I am interested because, by the structure theorem for finitely-generated modules over a principle ideal domain, this category would have a natural monoidal structure on it under direct products in Ab, and would be generated by the full subcategory of primary or infinite cyclic groups.

Thanks in advance guys.

>pic vaguely related, but mostly just for giggles

Advanced search
Text to find
Subject [?]Search by post subject. Leave empty for any.
Username [?]Search for user name. Leave empty for any user name.
Tripcode [?]Search for tripcode. Leave empty for any.
Email [?]Search by email. Leave empty for any.
Filename [?]Search by image filename. Leave empty for any.
From Date [?]Enter what date to start searching from. Format is YYYY-MM-DD
To Date [?]Enter what date to start searching until. Format is YYYY-MM-DD
Image hash
Search in	All Posts OPs Only
Deleted posts	Show all posts Show only deleted posts Only show non-deleted posts
Internal posts	Show all posts Show only internal posts Show only archived posts
Order	New posts first Old posts first
Capcode	All Posts Only by Users Only by Mods Only by Admins Only by Developers
Results	Posts Threads
Action	[ Simple ]

Navigation
View posts	[+24]	[+48]	[+96]

/sci/ - Science & Math

Search: