Hi!

The following is a problem for my work at #18758, which aims at making
arithmetic operations faster that are defined via category
element/parent classes:

    sage: Sym = SymmetricFunctions(FractionField(QQ['t']))
    sage: ks3 = Sym.kschur(3)
    sage: ks5 = Sym.kschur(5)
    sage: a = ks5(ks3[2])
    sage: a.parent() in Rings()
    False
    sage: Sym in Rings()
    True

Is it not the case that
    sage: a.parent()
    5-bounded Symmetric Functions over Fraction Field of Univariate Polynomial
    Ring in t over Rational Field in the 5-Schur basis
forms a ring? Or at least a magma?

Best regards,
Simon


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