List questions from monoid | MathQa

Seeking more information regarding the function $\varphi(n) = \sum_{i=1}^n \left[\binom{n}{i} \prod_{j=1}^i(i-j+1)^{2^j}\right].$

Published on 12 Jan 2025 - 19:24

Finite monoid has an invertible element

Published on 12 Jan 2025 - 23:30

Elements of monoids are equal if relatively prime powers of the elements are equal

Published on 12 Jan 2025 - 23:38

How do you generalize "loops" from usual topology $I:[0,1] \to X$

Published on 05 Jan 2025 - 18:04

Is the space of monoid homomorphisms on a free monoid free?

Published on 07 Jan 2025 - 13:38

Why does a group homomorphism preserve more structure than a monoid homomorphism while satisfying fewer equations

Published on 07 Jan 2025 - 21:18

Is there accepted notation to distinguish $A^2 = \{a^2 \mid a \in A\}$ from $A^2 = \{ab \mid a,b \in A\}$?

Published on 07 Jan 2025 - 18:49

What is the correct term for a module but with the scalars being elements of a monoid?

Published on 07 Jan 2025 - 23:55

Show that order of a Group is 2

Published on 12 Jan 2025 - 18:45

Is there a name for a monoid with a distinguished absorbing element?

Published on 06 Jan 2025 - 11:08