Let G be a simple undirected graph on n vertices, and let I(G) ⊆ R = k[x 1 ,. .. , x n ] denote its associated edge ideal. We show that all chordal graphs G are sequentially Cohen-Macaulay; our proof depends upon showing that the Alexander dual of I(G) is componentwise linear. Our result complements Faridi's theorem that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay and im...

Let G be a simple undirected graph on n vertices, and let I(G) ⊆ R = k[x 1 ,. .. , x n ] denote its associated edge ideal. We show that all chordal graphs G are sequentially Cohen-Macaulay; our proof depends upon showing that the Alexander dual of I(G) is componentwise linear. Our result complements Faridi's theorem that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay and He...

Let V be a vector space of dimension d < ∞. In these notes, we discuss how to define a wedge product on the space of all alternating forms on V × · · · × V ’s so as to make it isomorphic to the exterior algebra Λ(V ). We start by reviewing the equivalence class definition of the exterior algebra over the dual space V ∗ of V . Define ◦ C(V ) = ⊕∞ k=0 V ∗⊗k (with V ∗⊗k being the tensor product of...

We compute the moduli metrics of worldvolume 0-brane solitons of D-branes and the worldvolume self-dual string solitons of the M-5-brane and examine their geometry. We find that the moduli spaces of 0-brane solitons of D-4-branes and D-8-branes are hyper-Kähler manifolds with torsion and octonionic Kähler manifolds with torsion, respectively. The moduli space of the self-dual string soliton of ...

For investigation of the properties of smooth muscle contraction hypertonically added 40 mm K medium has been used as a routine in this laboratory. Others have used isotonic high K/Na deficient medium for the same purpose. The distinct difference xisting between the mechanical response of guinea pig taenia coli in hyper-40 K medium and that in iso 152 K medium has been reported earlier. The res...

Dendritic macromolecules’ have attracted much attention as organic examples of well-defined nanostructures. These molecules are ideal model systems for studying how physical properties depend on molecular size and architecture. In this paper using a simple result, some GAP programs are prepared to compute Wiener and hyper Wiener indices of dendrimers.

Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing [4]. We shall define a (B,C)-bimodule L. The k-dual L∗ induces the transfer map between t...

A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an ideal C *-algebra if and only if it is isomorphicto C (Q) for some discrete space ?. We investigate ideal J*-algebras and show that the a...

In this paper, for a CM abelian extension K/k of number fields, we propose conjecture which describes completely the Fitting ideal minus part Pontryagin dual T-ray class group K set T primes as Gal(K/k)-module. Here, emphasize that consider full group, and do not throw away ramifying (the object study is quotient by subgroup generated classes primes). We prove our consequence equivariant Tamaga...

This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals investigate several of their related characteristics. BF-algebra ideal characteristics are taken into account, supported examples built. Here, also develop new concepts known as hyper-B-algebra, hyper-BG-algebra, hyper-BH algebra generalizations o...