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On Steinitz-like properties in amalgamated algebras along an ideal.

Authors :
El Maalmi, Mourad
Mouanis, Hakima
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

Subjects :
*AMALGAMATION
*ALGEBRA

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