𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Duality Theorems for Graded Algebras and Coalgebras

✍ Scribed by S. Dăscălescu; C. Năstăsescu; F. Van Oystaeyen; B. Torrecillas

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
248 KB
Volume
192
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Duality Theorems for Finite Structures (
Duality Theorems for Finite Structures (Characterising Gaps and Good Characterisations)
✍ Jaroslav Nešetřil; Claude Tardif 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 161 KB

We provide a correspondence between the subjects of duality and density in classes of finite relational structures. The purpose of duality is to characterise the structures C that do not admit a homomorphism into a given target B by the existence of a homomorphism from a structure A into C. Density

Alexander Duality for Stanley–Reisner Ri
Alexander Duality for Stanley–Reisner Rings and Squarefree Nn-Graded Modules
✍ Kohji Yanagawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 146 KB

Let S = k x 1 x n be a polynomial ring, and let ω S be its canonical module. First, we will define squarefreeness for n -graded S-modules. A Stanley-Reisner ring k = S/I , its syzygy module Syz i k , and Ext i S k ω S are always squarefree. This notion will simplify some standard arguments in the S