- #1

mnb96

- 715

- 5

Hi,

We know that given a group G and a subgroup H, the cosets of H in G partition the set G.

Now, if instead of groups we consider a monoid M and a submonoid H, the cosets of H in M in general do not partition the set M.

However, are there some conditions that we can impose on H under which its cosets still form a partition of M?

We know that given a group G and a subgroup H, the cosets of H in G partition the set G.

Now, if instead of groups we consider a monoid M and a submonoid H, the cosets of H in M in general do not partition the set M.

However, are there some conditions that we can impose on H under which its cosets still form a partition of M?

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