ON FROBENIUS ALGEBRAS IN RIGID MONOIDAL CATEGORIES

被引：0

作者：

Fuchs, Jurgen ^{[1
]}

Stigner, Carl ^{[1
]}

机构：

[1] Univ Sgatan, Karlstads Univ, S-65188 Karlstad, Sweden

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2008年 / 33卷 / 2C期

关键词：

monoidal categories; Frobenius algebras; symmetric algebras; Nakayama automorphism;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces to more general monoidal categories. For Frobenius algebras, tire appropriate setting is the one of rigid monoidal categories, and for symmetric Frobenius algebras it is the one of sovereign monoidal categories. We also discuss some properties of Nakayama automorphisms.

引用

页码：175 / 191

页数：17

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