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Stein Chen's user avatar
Stein Chen's user avatar
Stein Chen
  • Member for 8 years, 7 months
  • Last seen more than a month ago
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asked
$p$-modular splitting systems and the characteristic of the ring $\mathcal{O}$
accepted
Reference request for equivalent formulations of being absolutely indecomposable
revised
Reference request for equivalent formulations of being absolutely indecomposable
added 18 characters in body
asked
Reference request for equivalent formulations of being absolutely indecomposable
comment
Do $F$-traces of simple modules at $p'$-classes uniquely determine the module?
Thank you for the answer and reference! (for other people who might be interested in the explicit page number: it's Corollary (82.5) on page 587)
accepted
Do $F$-traces of simple modules at $p'$-classes uniquely determine the module?
revised
Do $F$-traces of simple modules at $p'$-classes uniquely determine the module?
deleted 91 characters in body
asked
Do $F$-traces of simple modules at $p'$-classes uniquely determine the module?
awarded
 Curious
revised
Is there a standard reference for: taking projective covers of simple modules commutes with finite Galois field extensions?
added 93 characters in body
asked
Is there a standard reference for: taking projective covers of simple modules commutes with finite Galois field extensions?
awarded
 Yearling
comment
Krull dimension and elimination theory over the integers
I agree and I also vote to close.
comment
Krull dimension and elimination theory over the integers
Ok, thank you very much.
awarded
 Commentator
accepted
Krull dimension and elimination theory over the integers
comment
Krull dimension and elimination theory over the integers
Last question: If the Krull dimension of $R$ in the $K=\mathbb{Z}$ case is zero, does this imply that the Krull dimension of $R$ in the $K=\mathbb{Q}$ case is zero (via Groebner bases)? Sorry for these trivial questions...I am not familiar with this area of mathematics.
comment
Krull dimension and elimination theory over the integers
Ok, thank you very much.
comment
Krull dimension and elimination theory over the integers
Ok, thanks. If we know that there are only finitely many solutions, is there an algorithm to find all of them?
comment
Krull dimension and elimination theory over the integers
Ok, thank you very much. Do you know a sufficient criterion in the $K=\mathbb{Z}$ case which guarantees that there are only finitely many solutions, if the criterion is fulfilled?
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