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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
2
votes
1
answer
241
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Descending chain of translation invariant linear spaces of polynomials
Does there exist a (strictly) descending chain of translation invariant linear spaces of polynomials in $n$ variables? The answer is "no" if $n=1$.
2
votes
0
answers
354
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Can a sequence of polynomials in a translation invariant linear space pointwise converge to ...
Can a sequence of polynomials in a translation invariant linear space (of polynomials, of course) point-wise converge to a polynomial which is not included in that space? In one variable this is impos …