tlquyen

113 reputation

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visits	member for	6 months
	seen	Jan 17 at 8:55
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	113 reputation	bio	website		visits	member for	6 months
5 badges		location	VN		seen	Jan 17 at 8:55

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Jan 17	comment	Krull dimension of the injective hull of residue field @ Tobias. Thank you!
Jan 17	awarded	Scholar
Jan 17	accepted	Linear compact module
Jan 17	accepted	Existence of a simple submodule
Jan 17	accepted	If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic.
Jan 17	accepted	Associate prime ideal
Jan 16	asked	Krull dimension of the injective hull of residue field
Jan 11	awarded	Teacher
Jan 11	revised	Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian added 1 characters in body
Jan 11	awarded	Editor
Jan 11	revised	Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian added 1 characters in body
Jan 11	answered	Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian
Jan 2	comment	Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$ Tobias, thank you very much.
Jan 2	comment	Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$ Oh, this is an exercise in my final test. Can you give me some details about the example that you say about. Thank you!
Jan 2	comment	Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$ @ Tobias: Ok, a finite $p-$group $G$ has a non-trivial center. But is it true in case G is infinite?
Jan 1	comment	If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic. Sorry Babak Sorouh for my late. I have learn many thing from your help. Thank you very much!
Jan 1	asked	Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$
Dec 9	comment	If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic. I can see $G$ is torsion and $G\cong G_p$ for some prime $p$. $G$ is dividable if $pG= G$, so suppose $G/pG\ne 0$. I pass to consider $G/pG$ is a $Z_p$-vector space to get something wrong, but I stuck here. Can you give me some help.
Dec 6	comment	If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic. @ Hagen von Eitzen: Thank. There are some mistakes in my question. The case that I want to mention is : $H\le G$ is a non-trivial subgroup of $G$ and that for every non-trivial subgroup $X\le G$, we have $H\le X$. What do you think about this case?
Dec 6	comment	If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic. Sorry. I want to say : is contained in. More details, $G$ has a nontrivial subgroup $H$ such that $H \le K$, where $K$ is any nontrivial subgroup of G.