colorectal cancer is the second leading cause of cancer death worldwide. through risk assessment of malignancy in polyps, screening programs can achieve the best results. this study aimed to determine the association between the grade of dysplasia and the location of colorectal polyps. 240 colorectal adenomatous polyps which were referred to department of pathology at rasoul-e-akram hospital be...

In this paper we show that the lowest two-sided ideal of an affine Hecke algebra is affine cellular for all choices of parameters. We explicitely describe the cellular basis and we show that the basis elements have a nice decomposition when expressed in the Kazhdan-Lusztig basis. In type A we provide a combinatorial description of this decomposition in term of number of paths.

In this paper, using the equivalence between category of crossed modules algebras and algebra-algebroids, we will explore notions ideality factors for these algebraic structures. We give structure a two sided ideal an algebra-algebroid notion quotient algebra-algebroid. By considering algebra-algebroid, show that module corresponding to is Conversely, by taking module, also module.

it is called nontrivial if {0} 6= J 6= X. This notion was introduced by Alfsen and Effros [1] and has proved useful in Banach space geometry, approximation theory and harmonic analysis; see [12] for a detailed account. A number of authors have studied the M -ideal structure in L(X), the space of bounded linear operators on a Banach space X, with special emphasis on the question whether K(X), th...

In the study of hereditary Noetherian rings, it is clear that hereditary Noetherian prime rings will play a central role (see, for example, [12]). Here we study the (two-sided) ideals of an hereditary Xoetherian prime ring and, as a consequence, ascertain the structure of factor rings and torsion modules. The torsion theory represents a generalization of similar results about Dedekind prime rin...

We study the Brauer–Schur–Weyl duality between the quotient Bn(−2m)/B (f) n of the Brauer algebra Bn(−2m) and the symplectic group Sp(V ) on the space HT ⊗f n of partially harmonic tensors of valence f in V , where B (f) n is the two-sided ideal generated by e1e3 · · · e2f−1 and 1 ≤ f ≤ [n/2]. We prove that the dimensions of HT ⊗f n and the endomorphism algebra EndKSp(V ) “

2. -, Rings with a pivotal monomial, Proc. Amer. Math. Soc. 9 (1958), 635642. 3. L. P. Belluce and S. K. Jain, Prime rings having a one-sided ideal satisfying a polynomial identity, Abstract 614-89, Notices Amer. Math. Soc. 11 (1964), p. 554. 4. N. Jacobson, Structure of rings, Amer. Math. Soc. Colloq. Publ. Vol. 37, Amer. Math. Soc, Providence, R. I., 1956. 5. I. Kaplansky, Rings with a polyno...

be the set of (iso-classes of) finite dimensional simple right A-modules. An ndimensional simple A-module V ∈ Simpn(A) defines a surjectiv homomorphism of k-algebras, ρ : A → Endk(V ), the kernel of which is a two-sided maximal ideal mV , of A. Let Max≤∞ be the set of all such maximal ideals of A, for n ≥ 1. To exclude some strange and for our purposes non-interesting cases, we shall assume tha...

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by soving a combined 3-...