Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly. In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pro...

We study the coinvariant ring of the complex reflection group G(r, p, n) as a module for the corresponding rational Cherednik algebra H and its generalized graded affine Hecke subalgebra H. We construct a basis consisting of non-symmetric Jack polynomials, and using this basis decompose the coinvariant ring into irreducible modules forH. The basis consists of certain non-symmetric Jack polynomi...

the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...

One of the classical families of association schemes is known as the Johnson schemes J (n, d). In this paper we compute the Terwilliger algebra associated to them when 3d n. We give its decomposition into simple ideals and the decomposition of its standard module into irreducible submodules. © 2006 Elsevier B.V. All rights reserved.

Motivated by the construction of Steenrod cup-i products in singular cochain algebra a space and non-commutative differential forms, we define category binomial cup-one graded algebras over integers prime fields positive characteristic. The Hirsch identities bind cup-product, product, package that further enhance with ring structure arising from integer-valued rational polynomials. This allows ...