Bilinear forms on matrix algebras vanishing on zero products of xy and yx

Bilinear Forms on Frobenius Algebras

We analyze the homothety types of associative bilinear forms that can occur on a Hopf algebra or on a local Frobenius k-algebra R with residue field k. If R is symmetric, then there exists a unique form on R up to homothety iff R is commutative. If R is Frobenius, then we introduce a norm based on the Nakayama automorphism of R. We show that if two forms on R are homothetic, then the norm of th...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Deadlock-free XY-YX router for on-chip interconnection network

Specifically, based on the observation that a response is always preceded by a request in multi-processor SoCs, this letter proposes a novel deadlock-free XY-YX router for on-chip network performance improvement. In order to avoid deadlock, we add additional physical channels in the horizontal direction and optimize the priority of output channel allocation. Simulation results show the enhancem...

A note on bilinear forms

on the effect of linear & non-linear texts on students comprehension and recalling

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