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bio website iecl.univ-lorraine.fr/…
location Nancy, France
age 64
visits member for 3 years, 11 months
seen 2 hours ago

Email: pierre.yves.gaillard at gmail.com

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2h
awarded  Nice Question
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reviewed Approve suggested edit on Intersection of line with elliptic curve
7h
comment module over a quotient of a principal ideal domain
Dear rschwieb: Your wrote: "Rings for which all right modules are decomposable into sums of finitely generated modules are called right pure-semisimple rings." I think you meant "direct sum", not just "sum"...
7h
comment module over a quotient of a principal ideal domain
@rschwieb - Thank you for your kind comment and your great answer!
7h
comment module over a quotient of a principal ideal domain
Dear rschwieb: Thanks a lots for your terrific answer! Needless to say that I up-voted it. I'll try to digest it. I'm afraid my question is even much more naive than I feared...
8h
comment module over a quotient of a principal ideal domain
Dear Hagen: Thank you very much for your nice answer! +1. For the other readers, here is a link to Warfield's article. I think Warfield's statement is stronger than mine, because it applies to all Artinian principal ideal rings, and I imagine this is a strictly larger class of rings.
10h
comment module over a quotient of a principal ideal domain
Dear Martin, Thanks for your comment. Could you explain more precisely why "this seems to contradict cardinalities"? - Do you agree at least that, when $n$ is prime, $\prod_{\mathbb{N}}\mathbb{Z}/n\mathbb{Z}$ is isomorphic to a direct sum of copies of $\mathbb{Z}/n\mathbb{Z}$?
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asked module over a quotient of a principal ideal domain
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reviewed Approve suggested edit on Simple proof that a $3\times 3$-matrix with entries $s$ or $s+1$ cannot have determinant $\pm 1$, if $s>1$.
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revised vector spaces whose algebra of endomorphisms is generated by its idempotents
edit clearly indicated
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reviewed Reject suggested edit on How does one find the area of an implicit function?
Jul
25
reviewed Approve suggested edit on Determine the Laplace transform using the heaviside fuction
Jul
25
reviewed Approve suggested edit on Solve for $x$: $\frac1e = e^{2x}$
Jul
25
reviewed Approve suggested edit on Complex Power Series
Jul
25
comment vector spaces whose algebra of endomorphisms is generated by its idempotents
@RobertLewis - Dear Robert, yes, we want to consider the algebra of all $K$-linear maps from $V$ to $V$. Thanks for your kind words and your vote!
Jul
25
comment vector spaces whose algebra of endomorphisms is generated by its idempotents
@JHance - Yes, in the infinite dimensional case, I'm interested just in vector spaces and arbitrary linear maps.
Jul
25
asked vector spaces whose algebra of endomorphisms is generated by its idempotents
Jul
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reviewed Approve suggested edit on Asymptotic notation problems, am i correct??
Jul
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reviewed Approve suggested edit on Series in a space which is not complete
Jul
18
comment Proof of Yoneda Lemma
@NikolajK - Dear NikolajK: Thank you for letting me know. I don't know what to do... In some sense, Aaron's and Martin's comments answer the question...