Integral u-deformed involution modules

Q-deformed Path Integral

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2) q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

An Involution and Dynamics for the Q-deformed Quantum Top

This preprint is the English translation of our paper published in Russian in the issue of St.-Petersburg journal Zapiski LOMI dedicated to the jubilee of Prof. O.A. Ladyzhenskaya in the beginning of 1993. We hope that this text still may be of interest for specialists. It is known that the involution corresponding to the compact form is incompatible with comultiplication for quantum groups at ...

(S, U)-integral

Integral Points for Drinfeld Modules

We prove that in the backward orbit of a nonpreperiodic (nontorsion) point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point. This provides the answer (in positive characteristic) to a question raised by Sookdeo in [26]. We also prove that for each nontorsion point z there exist at mos...

Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †

Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...