Here we give an interpretation of Solomon's rule for multiplication in the descent algebra of Coxeter groups of type D, ΣDn. We describe an ideal I such that ΣDn/I is isomorphic to the descent algebra of the hyperoctahedral group, ΣBn−2.

We present a new one way function based on the diiculty of nding shortest vectors in lattices. This new function consists of exponentiation of an ideal in an order of a number eld and multiplication by an algebraic number which can both be performed in polynomial time. The best known algorithm for inverting this function is exponential in the degree of the lattices involved.

Let be a module over commutative ring with identity. Before studying the concept of Strongly Pseudo Nearly Semi-2-Absorbing submodule, we need to mention ideal and basics that you study submodule. Also, introduce several characteristics submodule in classes multiplication modules other types modules. We also had no luck because is not ideal. it noted under conditions, which this faithful module...

Abstract We introduce the notion of a product fractal ideal ring using permutations finite sets and multiplication operation in ring. This generalizes concept an obtain corresponding quotient structure that partitions under certain conditions. prove isomorphism theorems illustrate involved with examples. These extend classical rings, providing broader viewpoint.

2. Primary ideals in C(X). C(X) denotes the ring of real-valued continuous functions on the topological space X, under ordinary pointwise addition and multiplication. By a primary ideal we mean an ideal which is contained in at most one maximal ideal. An O-ideal is an ideal / such that for each pair/i,/2G/ there exists eEI, depending on/i and f2, such that/<«=/.-, for i = l, 2 [7; 4]. A prime-l...

The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...

All rings are commutative with identity and all modules are unital. Let R be a ring, M an R-module and R (M), the idealization of M . Homogeneous ideals of R (M) have the form I (+)N where I is an ideal of R, N a submodule of M and IM ⊆ N . The purpose of this paper is to investigate how properties of a homogeneous ideal I (+)N of R (M) are related to those of I and N . We show that if M is a m...

In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...

We give a new characterisation of elliptic curves Shimura type in terms commuting families Frobenius lifts and also strengthen an old principal ideal theorem for ray class fields. These two results combined yield the existence global minimal models type, generalising result Gross. Along way we prove handful small but regarding with complex multiplication.

This paper investigates the arithmetic of fractional ideals of a purely cubic function field and the infrastructure of the principal ideal class when the field has unit rank one. First, we describe how irreducible polynomials decompose into prime ideals in the maximal order of the field. We go on to compute so-called canonical bases of ideals; such bases are very suitable for computation. We st...