in this article, we introduce monomial irreducible representations of the special linear lie algebra $sln$. we will show that this kind of representations have bases for which the action of the chevalley generators of the lie algebra on the basis elements can be given by a simple formula.

A well known theorem of Shuzo Izumi, strengthened by David Rees, asserts that all the divisorial valuations centered in an analytically irreducible local noetherian ring (R,m) are linearly comparable to each other. This is equivalent to saying that any divisorial valuation ν centered in R is linearly comparable to the m-adic order. In the present paper we generalize this theorem to the case of ...

The Bernstein center of a reductive p-adic group is the algebra of conjugation invariant distributions on the group which are essentially compact, i.e., invariant distributions whose convolution against a locally constant compactly supported function is again locally constant compactly supported. The center acts naturally on any smooth representation, and if the representation is irreducible, e...

We present an algorithm that computes an unmixed-dimensional decomposition of an arbitrary algebraic variety V . Each Vi in the decomposition V = V1 ∪ . . . ∪ Vm is given by a finite set of polynomials which represents the generic points of the irreducible components of Vi. The basic operation in our algorithm is the computation of greatest common divisors of univariate polynomials over extensi...

Assumed that (S,+,.) is a semiring. Semiring algebra structure as generalization of ring. A set I⊆S called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I every s in S. Based on this definition, there special condition namely prime P, when αβ∈P, then could prove α or β are elements P. Furthermore, I irreducible Ia intersection from B S, I=A I=B. We also know the strongly no...

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-...

In this paper we describe three different variations of prime ideals: strongly irreducible ideals, ideals and insulated in the context Leavitt path algebras. We give necessary sufficient conditions under which a proper ideal algebra L is product as well an intersection finitely many these types ideals. Such factorizations, when they are irredundant, shown to be unique except for order factors. ...

in this paper we will give the character table of the irreducible rational representations of g=sl (2, q) where q= , p prime, n>o, by using the character table and the schur indices of sl(2,q).

‎in this paper‎, ‎we obtain the dimensions of symmetry classes of polynomials associated with‎ ‎the irreducible characters of the dihedral group as a subgroup of‎ ‎the full symmetric group‎. ‎then we discuss the existence of o-basis‎ ‎of these classes‎.