… Bridger[3] generalized finitely generated projective modules to finitely generated modules of
G-… projective modules for arbitrary modules over a general ring, which is a generalization of …

… lifted from A to a (right) double Ore extension B of A in the iterated case. In Section 3, we
investigate the lifting of … Suppose A is a finitely generated commutative algebra, that is, for I is an …

… –Langlands lift g of f into a cohomological Hida family Φ± … Let R be a finitely generated
R-subalgebra of Rp such that Φ± g ∈ (… Since R is Λ-flat, we may tensor the associated long exact …

We discuss certain infinite-dimensional noncommutative associative algebras. One well-known
class of infinite-dimensional associative algebras is universal enveloping algebras of Lie …

… A nonempty Voronoi cell V(R) has the same dimension as the flat of points equidistant from
… lifting the sites to d+1 dimensions and then projecting the lower convex hull of the lifted sites …

… Lift the maximal torus Z to a OF -group scheme Z whose generic fibre is Z. This is done by …
an affine scheme X of finite type over F. By a model of X, we mean a flat O-scheme X of the …

… Keurentjes[30] used flat gerbes to classify orientifold configurations. … We define ngerbe
modules to calculate the characteristic class and our main theorem completely classifies locally …

… to generate a 3-… lifting surface sweep and twist angles, smooth variation of its taper, etc.)
and achieves the best global aerodynamic performance (overall total pressure loss minimized, lift…

… Given a Lie pair (L, A), the quotient bundle L/A, which we usually denote by B, naturally
admits a flat Lie algebroid A-connection known as the Bott connection [3, 8]. We have the …

… , in which at least one foot is on the ground at all times and the feet are lifted alternately. …
the biped foot generally focused on a point, a flat or a curved/circular foot. The prosthetic …