Back to Search
Start Over
On Steinitz-like properties in amalgamated algebras along an ideal.
- Source :
-
Journal of Algebra & Its Applications . Dec2020, Vol. 19 Issue 12, pN.PAG-N.PAG. 9p. - Publication Year :
- 2020
-
Abstract
- Let f : A → B be a ring homomorphism, J be an ideal of B and A ⋈ f J the amalgamation of A with B along J with respect to f. In this paper, we provide necessary and sufficient conditions for A ⋈ f J to be a Steinitz ring, semi-Steinitz ring, and weakly semi-Steinitz. Then we construct new original examples of weakly semi-Steinitz rings which are not semi-Steinitz rings and semi-Steinitz rings which are not Steinitz rings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AMALGAMATION
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 146343578
- Full Text :
- https://doi.org/10.1142/S0219498820502370