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math.RA2020
On Reduced archimedean skew power series rings
Hamed Mousavi, Farzad Padashnik, Ayesha Asloob Qureshi
In this paper, we prove that if is an Archimedean reduced ring and satisfy ACC on annihilators, then is also an Archimedean reduced ring. More generally we prove that…
math.RA2016★ 1 cited
S-Noetherian generalized power series rings
F. Padashnik, A. Moussavi, H. Mousavi
Let R be a ring with identity, (M;\leq) a commutative positive strictly ordered monoid and w_m an automorphism for each m \in M . The skew generalized power series ring R[[M,w]] is…
math.RA2016★ 1 cited
The ascending chain condition for principal left or right ideals of skew generalized power series rings
F. Padashnik, A. Moussavi, H. Mousavi
Let be a ring, a strictly ordered monoid and a monoid homomorphism. In this paper we study the ascending chain conditions on principal left…