ELI5: Explain Like I'm 5

Simplicial commutative ring

A simplicial commutative ring is like a special kind of toy that has a bunch of different pieces that fit together in a special way. Imagine you have a box filled with different colored blocks. Each block has a number on it, and you can arrange the blocks to make different shapes, like towers or pyramids.

Now, imagine that each block also has a special power that lets it do math. So, if you have a block with the number "2" on it and another block with the number "3" on it, you can put them together to get a block with the number "5" on it.

A simplicial commutative ring is like this box of blocks, except instead of colored blocks with numbers on them, it's a collection of rings that are arranged in a special way. Each ring has some kind of math power that lets it combine with other rings to make new rings.

The "simplicial" part of the name means that the rings are arranged in a certain order, kind of like how you might arrange your blocks to make a pyramid with a certain shape. The "commutative" part means that the rings always combine in the same way, no matter what order you put them in.

So, a simplicial commutative ring is a special kind of toy that lets you do fancy math with rings arranged in a certain order. It's like a puzzle box for math geniuses!
Related topics others have asked about: