for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

An eecient sparse LU factorization algorithm on popular shared memory mul-tiprocessors is presented. Interprocess communication is critically important on these architectures-the algorithm introduces O(n) synchronization events only. No global barrier is used and a completely asynchronous scheduling scheme is one central point of the implementation. The algorithm aims at optimizing the single n...

Let H be a finite-dimensional quasibialgebra. We show that H is a quasi-Hopf algebra if and only if the monoidal category of its finite-dimensional left modules is rigid, if and only if a structure theorem for Hopf modules over H holds. We also show that a dual structure theorem for Hopf modules over a coquasibialgebra H holds if and only if the category of finite-dimensional right H-comodules ...

For a polynomial F(t, A1, …, An) ∈ $$\mathbb{F}$$ p[t, An] (p being prime number) we study the factorization statistics of its specializations $$F\left({t,{a_1}, \ldots ,{a_n}} \right) \in {\mathbb{F}_p}\left[t \right]$$ with (a1, an) S, where $$S \subset \mathbb{F}_p^n$$ is subset, in limit p → ∞ and deg F fixed. We show that for sufficiently large regular subset , e.g., product n intervals le...

Stereo-camera systems enjoy wide popularity since they provide more restrictive constraints for 3d-reconstruction. Given an image sequence taken by parallel stereo cameras, a low-rank constraint is derived on the measurement data. Correspondences between left and right images are not necessary yet reduce the number of optimization parameters. Conversely, traditional algorithms for stereo factor...

In [A. Frid, S. Puzynina, L.Q. Zamboni, On palindromic factorization of words, Adv. in Appl. Math. 50 (2013), 737-748], it was conjectured that any infinite word whose palindromic lengths of factors are bounded is ultimately periodic. We introduce variants of this conjecture and prove this conjecture in particular cases. Especially we introduce left and right greedy palindromic lengths. These l...

conclusions according to our results, these clinical measurements would provide valid information regarding the structure of the medial longitudinal arch. patients & methods clinical measurements of arch index (ai) and foot posture index (fpi) were performed on 40 subjects (18 boys and 22 girls), aged from 5 to 7 years referred to adabian rehabilitation center, kermanshah, iran. the study was c...

background: stabilization exercises can improve the performance of trunk and back muscles, which are effective in the prevention and treatment of low back pain. the four-point kneeling exercise is one of the most common types of stabilization exercises. this quasi-experimental study aimed to evaluate and compare the level of activation between abdominal and lumbar muscles in the different stage...