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Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal

عنوان مقاله: Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal
شناسه ملی مقاله: JR_KJMMRC-6-1_002
منتشر شده در شماره 1 دوره 6 فصل در سال 1396
مشخصات نویسندگان مقاله:

Esmaeil Rostami - Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
‎SUHA YILMAZ - BUCA FACULTY OF EDUCATION, DOKUZ EYLUL UNIVERSITY, ۳۵۱۵۰, BUCA-IZMIR, TURKEY,
MURADIYE CIMDIKER - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,

خلاصه مقاله:
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.

کلمات کلیدی:
Amalgamated algebra along an ideal, $J$-Noetherian, complete comaximal factorization, pseudo-irreducible ideal

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/857219/