… Dedekind ring (G-Dedekind ring for short), (ii) R is a G-Dedekind ring and (iii) R is a graded
G-Dedekind ring… We describe all invertible ideals of G-Dedekind rings in terms of R0 and Qg …

… As an application, we show that R is a generalized Dedekind prime ring if and only if R0 …
graded quotient rings). As an application, we show that R is a generalized Dedekind prime ring …

… graded ring types of Z, regarding maximal order, generalized Dedekind rings, and unique
factorization rings. … ralized the result in positively graded rings to the positively graded module. …

… rings, more specifically to ground rings which are Dedekind domains. The restriction to
Dedekind … over the ring of integers of an algebraic number field. In the case where the ground …

… In this paper, we study almost Dedekind domains which are polynomial overrings of a …
valuation rings with quotient field K(X), and their ideal class groups. Next, let Z be the ring of …

… graded ideal I of a graded von Neumann regular ring R is graded n-irreducible if and only if I
is graded n-… integral domain is said to be a graded Dedekind domain if every graded ideal is …

… 3)/2N$$ ( N - 3 ) / 2 N and proved that the graded rings of modular forms of weight $$\ell (N-3)/2N$…
The proof was given by a direct calculation of the structure of the ring. In this paper, we …

… For a Dedekind domain R with field of fractions … graded R-order is contained in a maximal
differential graded order. We develop parts of the classical ring theory in the differential graded …

… We give some new classes of DW rings and we show how the concept of DW domains is …
and Dedekind domains. Namely, we prove that a ring is a Prüfer domain (resp., Dedekind …

… (called Tannakian lattice), both defined over a Dedekind ring. We use this duality and the
known … sheaves on a smooth scheme over a Dedekind ring R to define the relative differential …