The polynomial rings over hereditary Noetherian prime rings have global dimension 2 and
any two-sided ideal which is either left v-ideal or right v-ideal is left and right projective. By …

Let R=⊕ n∈ ℤ 0 R n R=⊕_n∈Z_0R_n be a positively graded ring which is a sub-ring of the
strongly graded ring S=⊕ n∈ ℤ R n S=⊕_n∈ZR_n, where R 0 is a Noetherian prime ring. It …

Let R=⊕ n∈ ℤ 0 R n be a positively graded ring which is a sub-ring of strongly graded ring
of type ℤ, where R 0 is a Noetherian prime ring. We define a concept of ℤ 0-invariant …

Let R=⊕ n∈ ℤ R n be a strongly graded ring of type ℤ such that R 0 is a prime Goldie ring
with its quotient ring Q 0. It is shown that the following three conditions are equivalent:(i) R 0 …

Let R be a hereditary Noetherian prime ring with derivation δ. We describe all projective
ideals of a differential polynomial ring R [x; δ] and give some examples of hereditary …

Dimisalkan R merupakan sebuah gelanggang dengan elemen satuan, σ merupakan suatu
endomorfisma gelanggang pada R, dan δ merupakan suatu σ-derivatif. Gelanggang …

Dimisalkan 𝑅𝑅 merupakan sebuah gelanggang dengan elemen satuan, 𝜎𝜎 merupakan
suatu endomorfisma gelanggang pada 𝑅𝑅, dan 𝛿𝛿 merupakan suatu 𝜎𝜎derivatif …

Let R=+ n∈ Z0 Rn be a positively graded ring which is a sub-ring of strongly graded ring of
type Z, where R0 is a Noetherian prime rings. We define a concept of Z0-invariant maximal …

Strongly Graded Rings Over Hereditary Noetherian Prime Rings | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

Polynomial rings over hereditary Noetherian prime rings have the following properties: The
global dimension is two, and any ideal with left v-ideal or right v-ideal is a projective ideal …