… the assumption that 2 is invertible in R. More recently, Giffen … Let R be a ring with unit and
an involution r – F (ie, F = r and (… projective R-module M. The isometry classes of hyperbolic …

… Let R be a ring and M a right R-module. Recall that a module M is called SP(SF) injective (see
[1]), if every R… ) right ideal aR of R to M can be extended to an endomorphism of M. In [2], a …

… review the notions of coherent modules, derived categories and the projective limits of 2-…
As usual, we denote by DX the sheaf of rings of differential operators on X. Recall that a bi-…

… [25] in terms of projective modules,a language commonly … Let 珔hbe a real indeterminate,and
denote by [[珔h]]the ring of … It is easy to see that if g is invertible,then g0 is nonsingular. …

… Let R be a complete discrete valuation ring or a field. If Λ is an … projective module is the
projective cover of a simple module. Conversely, the projective cover of a simple module is an …

… For example, if H is an ample divisor on a smooth projective … R be a normal local Noetherian
ring, denote by S = Spec R … Let X be a normal variety, L be an invertible sheaf on X and let …

… Borcherds forms of weight 0 that generate the field of modular functions on (1)/WD and use
… (1) O is a ring whose elements are integral and R ⊗ O = H. (2) O is an R-ideal that is a ring. …

… or, equivalently, one whose Galois group is a reductive group… We note that the ring 2 is a left
and right euclidean domain. In … This follows from the fact that the projection of a constructible …

… by k ↦→ hkh−1, for some invertible element h of B. Therefore, … For a non-Archimedean local
field K, we let R be its ring of … ⊗Q R, we now let i∞ : B ↩→ M(2, R) be the projection onto the …

… = 0, in the case where X is non-singular. In § 5 we characterize … ; we set J“: 9–J"9 for the
projection map. Let I be an ideal in C. … Let (R, m) be a local Noetherian ring with maximal ideal m. …