Back to Search
Start Over
Morphisms and Functor kerf in C-Algebras.
- Source :
-
Algebra Colloquium . Mar2008, Vol. 15 Issue 1, p145-166. 22p. - Publication Year :
- 2008
-
Abstract
- Let (A,B,f) be a C-algebra. For any subset N of B, its kernel kerfN is a subset of $\hat {\bf B}_f$. The kernel kerf has been used to obtain important results for C-algebras (see [2] and [4]). In this paper, we study further properties of kerf. In particular, for a transitional C-algebra (A,B,f) and quotient subsets M and N such that N ⊆ M and M is also a C-subset, we prove that $\widehat{({\bf M}/{\bf N})}_{\tilde f_{\bf N}|_{\langle {\bf M}/{\bf N}\rangle}} \cong_x \ker_f {\bf N}/ \ker_f {\bf M}$. In order to show this result, exact sequences in C-algebras are studied. Finally, we present a few examples and applications. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MORPHISMS (Mathematics)
*MATHEMATICAL sequences
*ALGEBRA
*MATHEMATICS
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 15
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 28090275
- Full Text :
- https://doi.org/10.1142/S1005386708000151