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Questions of the kind "What's the name for a X that satisfies property Y?"

30 votes
Accepted

What is a "scholium"?

I am not a specialist in either etymology nor the english language (I am not a native speaker of english as well) but since the words scholium and porism have both greek origins, I thought it might be …
Konstantinos Kanakoglou's user avatar
12 votes

What is quantum algebra?

I think that a modern realistic perception of the term "quantum algebra" has to be understood in its historical context, that is, the algebraic/geometric methods, originating from the study of the qua …
Konstantinos Kanakoglou's user avatar
2 votes

Name for a Hopf algebra admitting no non-trivial 1-dimensional comodule

I am not really sure if this what the OP is looking for but i guess that a closely relevant notion here is that of connected Hopf algebras (i.e HAs which are connected as coalgebras). These are Hopf a …
Konstantinos Kanakoglou's user avatar
3 votes
Accepted

Name for a Hopf algebra whose only grouplike element is the identity?

There is a one-to-one correspondence between the grouplike elements and the simple, $1$-dim subcoalgebras. So if the only grouplike element is $1_H$, then there is a unique $1$-dim simple subcoalgebra …
Konstantinos Kanakoglou's user avatar