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Big finitistic dimension of finite dimensional algebra
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Let $A$ be a finite dimensional algebra. The big finitistic dimension of $A$
is
FinDim$(A)$=sup$;Min textMod-A and pd(M)<infty$,
where $pd(M)$ is the projective dimension of $M$, $textMod-A$ is the category of
right $A$-modules.
Problem: Does there exist a finite dimensional algebra $A$
such that FinDim$(A)=infty?$
http://cn.arxiv.org/abs/1804.09801 (see Definition 4.1.)
rt.representation-theory
edited 46 mins ago
Ben McKay
13.5k22757
asked 2 hours ago
Junling Zheng
713
add a comment |Â
up vote
2
down vote
favorite
Let $A$ be a finite dimensional algebra. The big finitistic dimension of $A$
is
FinDim$(A)$=sup$;Min textMod-A and pd(M)<infty$,
where $pd(M)$ is the projective dimension of $M$, $textMod-A$ is the category of
right $A$-modules.
Problem: Does there exist a finite dimensional algebra $A$
such that FinDim$(A)=infty?$
http://cn.arxiv.org/abs/1804.09801 (see Definition 4.1.)
rt.representation-theory
edited 46 mins ago
Ben McKay
13.5k22757
asked 2 hours ago
Junling Zheng
713
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
Let $A$ be a finite dimensional algebra. The big finitistic dimension of $A$
is
FinDim$(A)$=sup$;Min textMod-A and pd(M)<infty$,
where $pd(M)$ is the projective dimension of $M$, $textMod-A$ is the category of
right $A$-modules.
Problem: Does there exist a finite dimensional algebra $A$
such that FinDim$(A)=infty?$
http://cn.arxiv.org/abs/1804.09801 (see Definition 4.1.)
rt.representation-theory
edited 46 mins ago
Ben McKay
13.5k22757
asked 2 hours ago
Junling Zheng
713
Let $A$ be a finite dimensional algebra. The big finitistic dimension of $A$
is
FinDim$(A)$=sup$;Min textMod-A and pd(M)<infty$,
where $pd(M)$ is the projective dimension of $M$, $textMod-A$ is the category of
right $A$-modules.
Problem: Does there exist a finite dimensional algebra $A$
such that FinDim$(A)=infty?$
http://cn.arxiv.org/abs/1804.09801 (see Definition 4.1.)
rt.representation-theory
rt.representation-theory
edited 46 mins ago
Ben McKay
13.5k22757
asked 2 hours ago
Junling Zheng
713
edited 46 mins ago
Ben McKay
13.5k22757
asked 2 hours ago
Junling Zheng
713
edited 46 mins ago
Ben McKay
13.5k22757
edited 46 mins ago
Ben McKay
13.5k22757
edited 46 mins ago
Ben McKay
13.5k22757
13.5k22757
asked 2 hours ago
Junling Zheng
713
asked 2 hours ago
Junling Zheng
713
asked 2 hours ago
Junling Zheng
713
713
add a comment |Â
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
3
down vote
You quoted a very recent arxiv article, where it is stated that this is an open problem. No progress has been made towards this open problem since then.
The only big progress in the questions sourounding the finitistic dimension conjecture was made 1992 in https://link.springer.com/article/10.1007/BF02100610 where it was proven that the first finitistic dimension conjecture is wrong.
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
You quoted a very recent arxiv article, where it is stated that this is an open problem. No progress has been made towards this open problem since then.
The only big progress in the questions sourounding the finitistic dimension conjecture was made 1992 in https://link.springer.com/article/10.1007/BF02100610 where it was proven that the first finitistic dimension conjecture is wrong.
add a comment |Â
up vote
3
down vote
You quoted a very recent arxiv article, where it is stated that this is an open problem. No progress has been made towards this open problem since then.
The only big progress in the questions sourounding the finitistic dimension conjecture was made 1992 in https://link.springer.com/article/10.1007/BF02100610 where it was proven that the first finitistic dimension conjecture is wrong.
add a comment |Â
up vote
3
down vote
up vote
3
down vote
You quoted a very recent arxiv article, where it is stated that this is an open problem. No progress has been made towards this open problem since then.
The only big progress in the questions sourounding the finitistic dimension conjecture was made 1992 in https://link.springer.com/article/10.1007/BF02100610 where it was proven that the first finitistic dimension conjecture is wrong.
You quoted a very recent arxiv article, where it is stated that this is an open problem. No progress has been made towards this open problem since then.
The only big progress in the questions sourounding the finitistic dimension conjecture was made 1992 in https://link.springer.com/article/10.1007/BF02100610 where it was proven that the first finitistic dimension conjecture is wrong.
answered 34 mins ago
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