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**Dulabar**

Artin algebras are a natural generalization of finite-dimensional algebras and include classes of algebras which are not of this type e. As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings. These observations make artin algebras interesting and important for representation theorists. If not, you should first try to understand the goal and importance of representation theory of finite-dimensional algebras. Artin algebras are a natural generalization of finite-dimensional algebras and include classes of algebras which are not of this type e.

**Tugrel**

These observations make artin algebras interesting and important for representation theorists. As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings.

**Nehn**

But this is not a popular viewpoint towards artin algebras. If not, you should first try to understand the goal and importance of representation theory of finite-dimensional algebras. But this is not a popular viewpoint towards artin algebras.

**Mauran**

As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings. But this is not a popular viewpoint towards artin algebras. Thus, artin algebras are more applicable than merely finite-dimensional algebras and yet there is little-added complication in their representation theory compared to finite-dimensional algebras because artin algebras possess many fundamental "nice'' properties of finite-dimensional algebras; for example, they possess Morita self-duality, the endomorphism rings of their finitely generated modules are again artin algebras, their category of finitely generated modules has enough injective, their category of finitely generated modules are Krull-Schmidt.

**Bale**

As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings.

**Arashikus**

Thus, artin algebras are more applicable than merely finite-dimensional algebras and yet there is little-added complication in their representation theory compared to finite-dimensional algebras because artin algebras possess many fundamental "nice'' properties of finite-dimensional algebras; for example, they possess Morita self-duality, the endomorphism rings of their finitely generated modules are again artin algebras, their category of finitely generated modules has enough injective, their category of finitely generated modules are Krull-Schmidt. These observations make artin algebras interesting and important for representation theorists. Even not all of them hold in general over artinian left and right rings property 1 for example. Artin algebras are a natural generalization of finite-dimensional algebras and include classes of algebras which are not of this type e.

**Vudolkis**

These observations make artin algebras interesting and important for representation theorists. If not, you should first try to understand the goal and importance of representation theory of finite-dimensional algebras. Artin algebras are a natural generalization of finite-dimensional algebras and include classes of algebras which are not of this type e. Thus, artin algebras are more applicable than merely finite-dimensional algebras and yet there is little-added complication in their representation theory compared to finite-dimensional algebras because artin algebras possess many fundamental "nice'' properties of finite-dimensional algebras; for example, they possess Morita self-duality, the endomorphism rings of their finitely generated modules are again artin algebras, their category of finitely generated modules has enough injective, their category of finitely generated modules are Krull-Schmidt. As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings. If not, you should first try to understand the goal and importance of representation theory of finite-dimensional algebras.

**Goltimuro**

As you proceed in your studies, you will realize the importance of these properties, which none of them hold in general over left artinian rings.

**Kazrakasa**

These observations make artin algebras interesting and important for representation theorists. But this is not a popular viewpoint towards artin algebras.