[PDF][PDF] OF THE AMALGAMATED ALGEBRA
Y Azimi - emis.de
… This construction generalizes the amalgamated duplication of a ring along an ideal (introduced
and studied in [13]). Moreover, several classical constructions such as Nagata’s …
and studied in [13]). Moreover, several classical constructions such as Nagata’s …
The zero-divisor graph of an amalgamated algebra
Y Azimi, MR Doustimehr - Rendiconti del Circolo Matematico di Palermo …, 2021 - Springer
… \(R\bowtie ^f J\) is said to have the condition \((\star )\) if the equality \({\… amalgamated
duplication of a ring along an ideal as well as idealization of a module in a ring has the condition \((\…
duplication of a ring along an ideal as well as idealization of a module in a ring has the condition \((\…
Amalgamations subject to weakly finite conductor and P-coherence
H El Alaoui, M El Maalmi - São Paulo Journal of Mathematical Sciences, 2023 - Springer
… In section 3, we investigate the necessary and sufficient conditions for the amalgamation
to be a P-coherent ring. Also, we examine the stability of this property under homomorphic …
to be a P-coherent ring. Also, we examine the stability of this property under homomorphic …
Linkage property under the amalgamated construction
Y Azimi - Communications in Algebra, 2021 - Taylor & Francis
… homomorphism and J an ideal of S. Then, the subring R ⋈ f J : = { ( a , f ( a ) + j … amalgamation
of R with S along J with respect to f. In this article, we investigate when two extended ideals …
of R with S along J with respect to f. In this article, we investigate when two extended ideals …
Note on non-D-rings
A Mimouni - Quaestiones Mathematicae, 2019 - Taylor & Francis
… ideal class group of a Prüfer non-D-ring … amalgamation of A and B along J with respect to
f. This construction is a generalization of the amalgamated duplication of a ring along an ideal (…
f. This construction is a generalization of the amalgamated duplication of a ring along an ideal (…
Nil-ideals, J-ideals and their generalizations in commutative rings
A Mimouni - Beiträge zur Algebra und Geometrie/Contributions to …, 2023 - Springer
… Let R be a Prüfer domain with exactly two maximal ideals M … called the amalgamation of
A and B along J with respect to f. … of the amalgamated duplication of a ring along an ideal (…
A and B along J with respect to f. … of the amalgamated duplication of a ring along an ideal (…
The diameter of the zero-divisor graph of an amalgamated algebra
Y Azimi - Collectanea mathematica, 2019 - Springer
… generalizes the amalgamated duplication of a ring along an ideal (… amalgamated
duplication of a ring along an ideal as well as idealization of a module in a ring has the condition …
duplication of a ring along an ideal as well as idealization of a module in a ring has the condition …
Clean-like properties in bi-amalgamation algebras
M Chhiti, L Es-Salhi - São Paulo Journal of Mathematical Sciences, 2023 - Springer
… This construction is a generalization of the amalgamated duplication of a ring along an ideal…
amalgamation. In [3], the authors investigated the transfer of clean property to amalgamated …
amalgamation. In [3], the authors investigated the transfer of clean property to amalgamated …
(Generalized) filter properties of the amalgamated algebra
Y Azimi - Archivum Mathematicum, 2022 - dml.cz
… This construction generalizes the amalgamated duplication of a ring along an ideal (introduced
and studied in [13]). Moreover, several classical constructions such as Nagata’s …
and studied in [13]). Moreover, several classical constructions such as Nagata’s …
When every regular ideal is S-finite
M Chhiti, SE Mahdou - Quaestiones Mathematicae, 2024 - Taylor & Francis
… Now, we study the transfer of reg-S-Noetherian property to the amalgamated duplication
of a ring along an ideal. The proof of the main result relies on the following lemma which is of …
of a ring along an ideal. The proof of the main result relies on the following lemma which is of …