In this paper, we prove that every Pre A∗-algebra A with 1 is isomorphic to the Pre A∗-algebra of all global sections of a sheaf of indecomposable Pre A∗-algebra over Boolean space and that sheaf of indecomposable Pre A∗-algebra with 1 over Boolean space is isomorphic to the sheaf obtained from the Pre A∗-algebra of all sections of the sheaf. Copyright c © 2011 Yang’s Scientific Research Instit...

We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm.

Nonlinear (Polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. The full classification of ladderreducible and irreducible chains of SUSY algebras in one-dimensional QM is given. Possible extensions of SUSY in one dimension are described. They include (no more than) N = 2 extended SUSY with two nilpotent SUSY charges which generat...

In this paper, we derive pre-anti-flexible algebras structures in term of zero weight's Rota-Baxter operators defined on anti-flexible algebras, view as a splitting introduce the notion bialgebras and establish equivalences among matched pair bialgebras. Investigation special class leads to establishment Yang-Baxter equation. Both dual bimodules dendriform have same shape induces that both equa...

In this paper, first we study the semi maximal filters in linear $BL$-algebras and we prove that any semi maximal filter is a primary filter. Then, we investigate the radical of semi maximal filters in $BL$-algebras. Moreover, we determine the relationship between this filters and other types of filters in $BL$-algebras and G"{o} del algebra. Specially, we prove that in a G"{o}del algebra, any ...

We briefly review some results concerning the problem of classical singularities in general relativity, obtained with the help of the theory of differential spaces. In this theory one studies a given space in terms of functional algebras defined on it. Then we present a generalization of this method consisting in changing from functional (commutative) algebras to noncommutative algebras. By rep...

We formulate the generation of finite dimensional pointed Hopf algebras by group-like elements and skew-primitives in geometric terms. This is done through a more general study connected coconnected inside braided fusion category C. describe such as orbits for action reductive group on an affine variety. then show that closed are precisely Nichols algebras, all other therefore deformations alge...

OBJECTIVE To determine retraction and alignment of protruded and rotated premaxillary segment and to measure increase in columellar length by using modified orthopaedic plate with anterior acrylic ring in newborn babies with non syndromic bilateral cleft lip and palate. METHODS Pre surgical infant orthopaedic treatment of ten non syndromic bilateral cleft lip and palate new born babies was do...