Chain conditions on composite Hurwitz series rings

Abstract

In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.

Keywords

• composite hurwitz series ring h(r, d)
• composite hurwitz polynomial ring h(r, d)
• noetherian ring
• s-noetherian ring
• présimplifiable ring
• ascending chain condition on principal ideals
• 13a15
• 13e05
• 13e99
• 13f15