Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian. Then we give a characterization for pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.
Rostami,E . (2017). Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal. Journal of Mahani Mathematical Research, 6(1), 13-24. doi: 10.22103/jmmrc.2017.10782.1046
MLA
Rostami,E . "Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal", Journal of Mahani Mathematical Research, 6, 1, 2017, 13-24. doi: 10.22103/jmmrc.2017.10782.1046
HARVARD
Rostami E. (2017). 'Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal', Journal of Mahani Mathematical Research, 6(1), pp. 13-24. doi: 10.22103/jmmrc.2017.10782.1046
CHICAGO
E Rostami, "Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal," Journal of Mahani Mathematical Research, 6 1 (2017): 13-24, doi: 10.22103/jmmrc.2017.10782.1046
VANCOUVER
Rostami E. Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal. J. Mahani Math. Res.. 2017;6(1):13-24. doi: 10.22103/jmmrc.2017.10782.1046
