Background: Pex5p translocates the cargo proteins into peroxisomes. Results:Mammalian RING peroxins, the Pex10p Pex12p complex, catalyze Lys-linked, multiple monoubiquitination of Pex5p, assuring efficient export of Pex5p from peroxisomes. Conclusion: Distinct Lysand Cys-linked modes of Pex5p ubiquitination control Pex5p-mediated matrix protein import. Significance: This work provides the first...

The minimum-supported bivariate C2-cubic spline on a 6-directional mesh constructed in our previous work [2] can be used to extend Loop’s approximation subdivision scheme to introduce some parameter for controlling surface geometric shapes. This extension is achieved by considering matrix-valued subdivisions, resulting in subdivision templates of the same 1-ring template size as Loop’s scheme, ...

Let S be a subring of the ring R. We investigate the question of whether S ∩ U(R) = U(S) holds for the units. In many situations our answer is positive. There is a special emphasis on the case when R is a full matrix ring and S is a structural subring of R defined by a reflexive and transitive relation.

We give an algebraic interpretation of the well–known “zero–condition” or “sum rule” for multivariate refinable functions with respect to an arbitrary scaling matrix. The main result is a characterization of these properties in terms of containment in a quotient ideal, however not in the ring of polynomials but in the ring of Laurent polynomials.

In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring. Using that the skew polynomial ring is isomorphic to a matrix ring we can describe the algebraic parameters of the codes in a more accessible way. We show that the existence of such codes with given algebraic parameters can be reduced to the...

Introduction In the last years ring resonators attracted the attention of many researchers, mainly thanks to the selective frequency response, the small dimensions and because they can be exploited as the main building block of an add-drop, a de-multiplexer or even a crossbar matrix. In this contribution the integrated optic crossbar matrix based on ring resonators, named Resonant Router (ReR) ...

Entangling properties of a mixed 2-qubit system can be described by the local homogeneous unitary invariant polynomials in elements of the density matrix. The structure of the corresponding invariant polynomial ring for the special subclass of states, the so-called mixed X−states, is established. It is shown that for the X−states there is an injective ring homomorphism of the quotient ring of S...

The MIT-Bates South Hall Ring has been successfully commissioned for internal target experiments. More than 150 mA of stored beam has been circulated through a 40 cm long 1.5 cm diameter internal target cell. The ring has also been tuned for the first experiment on an external target using a resonantly extracted high duty factor beam. Beambased measurements of the ring optics by means of analyz...

We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of c < 1 strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form x ≃ y for the (p+1, p) model. We also study the states corresponding to the edges of the conformal grid whose inclusion is crucial for the closure of the ring. We intro...

Let P be a commutative Noetherian ring, ???? an ideal of which is generated by regular sequence length four, f element P, and P¯ the hypersurface ring P?(f). Assume that ????:f grade four Gorenstein P. We give resolution N P¯?????P¯ free P¯-modules. The built from differential graded algebra P?(????:f) P-modules, together with one homotopy map. In particular, we explicit form for matrix factori...