… coordinate ring, where X is a projective variety and σ ∈ AutX… Then we may form the
skew-Laurent polynomial ring B = R[s±… In fact, in HNP rings it is possible to view the ring in which …

… Then B0 is a projective ideal, that is, left and right projective since R0 is a G-HNP ring. Suppose
… Ueda, Projective ideals of skew polynomial rings over HNP rings, Comm. Algebra 45(6) (…

… nor maximal orders by using special HNP rings. Let R be a prime Goldie … is the graded
quotient ring of R at C0 with Q0Rn = RnQ0. (2) Qg 0 = Q0[X, σ], a skew polynomial ring, where X is …

… 4 we study the projective ideals of R with zero contracted ideals of \(R_{0}\). After completing
the structure theorems on projective ideals, we conclude that R is a strongly G-HNP ring. …

… is called the graded quotient ring of R and \({Q_{0}^{g}} = Q_{0}[X, \sigma ]\), a skew polynomial
ring over Q 0 , where σ is … Let R 0 be an HNP ring satisfying the following two conditions: …

… 43] eponymous algebras: a family Qn,k(E,η) of deformations of the polynomial ring S := C[xi, …
E as the deformation parameter and recovering the original polynomial ring at η = 0 ∈ E. As …

… that both polynomial rings and Rees rings are positively graded rings. … a UFM over D0, then
M is a UFM over D. In a UFD, the notions of a principal ideal, a v-ideal, and an invertible ideal …

… depend on the test vector (f, g, h) only through its level N and the systems of eigenvalues …
We strived to define diagonal classes with values in the representations VN, r, as the …

… Zeno Dynamics via repeated projective measurements which restricts the evolution of the
system within an in-constraint subspace. The repeated projective measurements are added to …