Let โ be a set, R a ring of characteristic p ) 0, and denote by M the k R-module with k-element subsets of โ as basis. The set inclusion map is the homomorphism which associates to a k-element subset โฌ the sum qโซ of all its k y 1 -element subsets โซ . In this paper we arising from ัจ. We introduce
On Modular Homology in the Boolean Algebra, II
โ Scribed by Steven Bell; Philip Jones; Johannes Siemons
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 288 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let F be a field of characteristic p, and if is an n-set let M n be the vector space over F with basis 2 . We continue our investigation of modular homological S n -representations which arise from the r-step inclusion map. This is the FS nhomomorphism โ r M n โ M n which sends a k-element subset โ
Several universal approximation and universal representation results are known for non-Boolean multivalued logics such as fuzzy logics. In this paper, we show that similar results can be proven for multivalued Boolean logics as well.