We introduce a notion of “hopfish algebra” structure on an associative algebra, allowing the structure morphisms (coproduct, counit, antipode) to be bimodules rather than algebra homomorphisms. We prove that quasi-Hopf algebras are examples of hopfish algebras. We find that a hopfish structure on the algebra of functions on a finite set G is closely related to a “hypergroupoid” structure on G. ...

Some simple Lie superalgebras, specific of characteristic 3, defined by S. Bouarroudj and D. Leites [BL06], will be related to the simple alternative and commutative superalgebras discovered by I.P. Shestakov [She97]. Throughout the paper, the ground field k will always be assumed to be of characteristic 6= 2. 1. Tits construction In 1966 [Tit66], Tits gave a unified construction of the excepti...

This paper is concerned with a system of nonlinear wave equations with supercritical interior and boundary sources, and subject to interior and boundary damping terms. It is well-known that the presence of a nonlinear boundary source causes significant difficulties since the linear Neumann problem for the single wave equation is not, in general, well-posed in the finite-energy space H(Ω) × L(∂Ω...

Abstract In this paper, we propose a new long-step interior point method for solving sufficient linear complementarity problems. The algorithm combines two important approaches from the literature: main ideas of introduced by Ai and Zhang algebraic equivalent transformation technique proposed Darvay. Similar to Zhang, our also works in wide neighborhood central path has best known iteration com...

this study was performed during the abatement of two asbestos-containing materials (acm):baumlite board (cement flat board) and ceiling textile. the concentrations of total dust for personal sampling were 0.28 and 1.70 mg/m3 during baumlite board and ceiling textile abatements, respectively, when calculated with 8-hr time-weighted average (twa). the geometric mean (gm) asbestos concentrations w...

this study was performed during the abatement of two asbestos-containing materials (acm):baumlite board (cement flat board) and ceiling textile. the concentrations of total dust for personal sampling were 0.28 and 1.70 mg/m3 during baumlite board and ceiling textile abatements, respectively, when calculated with 8-hr time-weighted average (twa). the geometric mean (gm) asbestos concentrations w...

There are many different algebraic, geometric and combinatorial objects that one can attach to a complex polynomial with distinct roots. In this article we introduce new object encodes of the existing have previously appeared in literature. Concretely, for every p d roots degree at least 2, produce canonical compact planar 2-complex is metric version tiled phase diagram. It has locally Euclidea...