Dual adjunctions between algebras and coalgebras
Author
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.407-411, 5 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
5
Main Subjects
Topics
Abstract AR
سنبرهن أن لدال الجبرية الثنوية – من فئة الجبريات المصاحبة إلى فئة الجبريات – قرينا أيسر، حتى لو لم تكن حلقة الأساس حقلا بل كانت أي حلقة إبدالية تحتوي على عنصر الوحدة.
أثبتت هذه المبرهنة كنتيجة لمبرهنة أعم عن الاقترانات بين فئة أشباه الزمر المصاحبة و فئة أشباه الزمر المعرفة في فئات شبه زمرية متماثلة مناسبة.
Abstract EN
It is shown that the dual algebra functor from coalgebras to algebras has a left adjoint even if the base ring is not a field but an arbitrary commutative ring with 1.
This result is proved as a corollary to a more general theorem on adjunctions between comonoids and monoids over suitable symmetric monoidal categories.
American Psychological Association (APA)
Porst, Hans E.. 2008. Dual adjunctions between algebras and coalgebras. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.407-411.
https://search.emarefa.net/detail/BIM-359147
Modern Language Association (MLA)
Porst, Hans E.. Dual adjunctions between algebras and coalgebras. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.407-411.
https://search.emarefa.net/detail/BIM-359147
American Medical Association (AMA)
Porst, Hans E.. Dual adjunctions between algebras and coalgebras. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.407-411.
https://search.emarefa.net/detail/BIM-359147
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 411
Record ID
BIM-359147
