Aimin Xu

71 reputation

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visits	member for	6 months
	seen	Apr 10 at 14:15
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	71 reputation	bio	website		visits	member for	6 months
17 badges		location			seen	Apr 10 at 14:15

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Dec 9	comment	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? Is every finite dimensional basic $K$-algebra connected?
Dec 9	comment	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? Let $A$ be a basic and connected finite dimensional Kalgebra, then it is isomorphic to a bound quiver algebra by Theorem 3.7 p64, ( I. Assem, D. Simson and A. Skowro$\acute{n}$ski, Elements of the Representation Theory of Associative Algebras, Volume 1)
Dec 9	revised	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? added 65 characters in body
Dec 9	revised	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? added 161 characters in body; edited title
Dec 5	comment	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? If a finite dimensional algebra $C$ with $C/radC\cong K$ and $rad^2C\cong radC\cong K$, then $C$ is two-dimensional.
Dec 3	comment	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? Assume that $A$ is a $K$-algebra with a complete set ${e_1,\cdots , e_n}$ of primitive orthogonal idempotents. The algebra $A$ is called basic if $e_iA \ncong e_jA$, for all $i\neq j$.
Dec 1	awarded	Enthusiast
Nov 30	revised	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra? added 1489 characters in body
Nov 29	asked	Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra?
Nov 29	accepted	Cartan or Coxeter matrix of an algebra of infinite global dimension
Nov 28	comment	Cartan or Coxeter matrix of an algebra of infinite global dimension Thank you very much, Aaron Is there a finite dimensional algebra $A$ satisfying the following conditions: (1) The Cartan matrix of $A$ is not invertible (2) $A$ has finite globle dimension.
Nov 22	revised	Cartan or Coxeter matrix of an algebra of infinite global dimension added 4 characters in body
Nov 21	asked	Cartan or Coxeter matrix of an algebra of infinite global dimension
Nov 18	comment	how to find all simple modules for the given path algebra Thanks, Julian Kuelshammer. I learned sonething new from your answer. If the field is algebraically closed, does the path algebra $A=KQ$ above and the polynomial ring $R$ have infinitely dimensional simple representation?
Nov 16	revised	how to find all simple modules for the given path algebra added 44 characters in body; edited title
Nov 16	revised	how to find all simple modules for the given path algebra deleted 16 characters in body
Nov 16	asked	how to find all simple modules for the given path algebra
Nov 15	awarded	Benefactor
Nov 15	accepted	admissible ideals
Nov 15	comment	admissible ideals Thanks, you gave a beautifull counterexample to my question!