Farzad Padashnik
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View article: On reduced archimedean skew power series rings
On reduced archimedean skew power series rings Open
In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a rig…
View article: S-Noetherian generalized power series rings
S-Noetherian generalized power series rings Open
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 a common generalization of (skew) polynomial rings, (skew)…
View article: The ascending chain condition for principal left or right ideals of skew generalized power series rings
The ascending chain condition for principal left or right ideals of skew generalized power series rings Open
Let $R$ be a ring, $(S,\leq)$ a strictly ordered monoid and $ω: S\rightarrow End(R)$ a monoid homomorphism. In this paper we study the ascending chain conditions on principal left (resp. right) ideals of the skew generalized power series r…