Chain conditions on composite Hurwitz series rings
Copyright policy )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.
- Kyungpook National University Korea (Republic of)
- Chosun University Korea (Republic of)
présimplifiable ring, 13a15, 13e99, noetherian ring, 13e05, 13f15, composite Hurwitz polynomial ring \(h(R, D)\), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Noetherian ring, composite hurwitz series ring h(r, d), composite Hurwitz series ring \(H(R, D)\), ascending chain condition on principal ideals, QA1-939, Composite Hurwitz series ring H (R, D); Composite Hurwitz polynomialring h (R, D); Noetherian ring; S-Noetherian ring; Presimplifiable ring; Ascending chain condition on principal ideals, s-noetherian ring, Ideals and multiplicative ideal theory in commutative rings, Chain conditions, finiteness conditions in commutative ring theory, Commutative Noetherian rings and modules, \(S\)-Noetherian ring, composite hurwitz polynomial ring h(r, d), Mathematics
présimplifiable ring, 13a15, 13e99, noetherian ring, 13e05, 13f15, composite Hurwitz polynomial ring \(h(R, D)\), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Noetherian ring, composite hurwitz series ring h(r, d), composite Hurwitz series ring \(H(R, D)\), ascending chain condition on principal ideals, QA1-939, Composite Hurwitz series ring H (R, D); Composite Hurwitz polynomialring h (R, D); Noetherian ring; S-Noetherian ring; Presimplifiable ring; Ascending chain condition on principal ideals, s-noetherian ring, Ideals and multiplicative ideal theory in commutative rings, Chain conditions, finiteness conditions in commutative ring theory, Commutative Noetherian rings and modules, \(S\)-Noetherian ring, composite hurwitz polynomial ring h(r, d), Mathematics
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