Chain conditions on composite Hurwitz series rings

• Autorzy: Jung Wook Lim , Dong Yeol Oh
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 13F15: Rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
• 13E05: Noetherian rings and modules
• 13A15: Ideals; multiplicative ideal theory
• 13E99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1161-1170

Daty

wydano

2017-01-01

otrzymano

2017-04-14

zaakceptowano

2017-07-25

online

2017-09-22

Twórcy

autor

Jung Wook Lim

• , , , ,

autor

Dong Yeol Oh

• , , , , ,

Identyfikatory

DOI

10.1515/math-2017-0097