On frobenius algebras in rigid monoidal categories
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.175-191, 17 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
17
Main Subjects
Topics
Abstract AR
نبرهن أن التكافؤ بين عدة تمييزات ممكنة لجبريات Frobenius و جبريات Frobenius المتمثلة يمكن أن ينتقل من ]جبريات في[ فئة الفضاءات الموجهة إلى ]جبريات في[ فئات شبه زمرية أعم.
بالنسبة لجبريات Frobenius، فإن الوضع الأنسب هو دراسة ]الجبريات في[ فئات شبه زمرية متماسكة، أما بالنسبة لجبريات Frobenius المتمثلة، فالأنسب هو دراسة ]الجبريات في[ فئات شبه زمرية مستقلة.
نناقش أيضا بعض خواص تشاكلات التقابلية الذاتية.
Abstract EN
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, the 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.
American Psychological Association (APA)
Fuchs, Jurgen& Stigner, Carl. 2008. On frobenius algebras in rigid monoidal categories. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.175-191.
https://search.emarefa.net/detail/BIM-358817
Modern Language Association (MLA)
Fuchs, Jurgen& Stigner, Carl. On frobenius algebras in rigid monoidal categories. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.175-191.
https://search.emarefa.net/detail/BIM-358817
American Medical Association (AMA)
Fuchs, Jurgen& Stigner, Carl. On frobenius algebras in rigid monoidal categories. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.175-191.
https://search.emarefa.net/detail/BIM-358817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 190-191
Record ID
BIM-358817
