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Let $A$ be a commutative finite dimensional Frobenius algebra and $M$ a non-projective $A$-module.

Can we have $Ext_A^i(M,M)=0$ for some $i>0$?

 

Can we have $Ext_A^i(M,M)=0$ for some $i>0$ in case $A=kG$ is a group algebra?

Let $A$ be a commutative finite dimensional Frobenius algebra and $M$ a non-projective $A$-module.

Can we have $Ext_A^i(M,M)=0$ for some $i>0$?

 

Can we have $Ext_A^i(M,M)=0$ for some $i>0$ in case $A=kG$ is a group algebra?

Let $A$ be a commutative finite dimensional Frobenius algebra and $M$ a non-projective $A$-module.

Can we have $Ext_A^i(M,M)=0$ for some $i>0$?

Can we have $Ext_A^i(M,M)=0$ for some $i>0$ in case $A=kG$ is a group algebra?

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Selfextensions for modules of commutative algebraFrobenius algebras

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Selfextensions for modules of commutative algebra

Let $A$ be a commutative finite dimensional Frobenius algebra and $M$ a non-projective $A$-module.

Can we have $Ext_A^i(M,M)=0$ for some $i>0$?

Can we have $Ext_A^i(M,M)=0$ for some $i>0$ in case $A=kG$ is a group algebra?