Let R be a commutative ring with unity. And let E unitary R-module. This paper introduces the notion of 2-prime submodules as generalized concept ideal, where proper submodule H module F over is said to if , for r and x implies that or . we prove many properties this kind submodules, then only [N ] E, R. Also, non-zero multiplication module, [K: F] [H: every k such K. Furthermore, will study ba...

Let G be a finite group, let V be an FG-module of finite dimension d, and denote by β(V ,G) the minimal number m such that the invariant ring S(V ) is generated by finitely many elements of degree at most m. A classical result of E. Noether says that β(V ,G) 6 |G| provided that charF is coprime to |G|!. If charF divides |G|, then no bounds for β(V ,G) are known except for very special choices o...

Most learning systems applied to problem solving have the goal of learning knowledge for solving problems more eeciently. However, very few systems have focused on the acquisition of planning operator descriptions. In this paper, we present a system that learns operator deenitions from the interaction with a completely unknown environment. In order to achieve better learning convergence, severa...

Hypericum perforatum L. (St. Johns’ wort) is the most commercially important species of the genus Hypericum and contains a wide range of components including naphthodianthrones, phloroglucinols, tannins, xanthones, phenolic acids and essential oil. In order to establish an efficient protocol for regeneration, the effects of explant type and plant growth regulators on direct and indirect shoot r...

Most learning systems applied to problem solving have the goal of learning knowledge for solving problems more eeciently. However, very few systems have focused on the acquisition of planning operator descriptions. In this paper, we present a system that learns operator deenitions from the interaction with a completely unknown environment. In order to achieve better learning convergence, severa...

Let G be a simple algebraic group over C with the Weyl group W . For a unipotent element u ∈ G, let Bu be the variety of Borel subgroups of G containing u. Let L be a Levi subgroup of a parabolic subgroup of G with the Weyl subgroup WL of W . Assume that u ∈ L and let B L u be a similar variety as Bu for L. We describe, for a certain choice of u ∈ L and e ≥ 1, the W -module ⊕ n≡k mod e H2n(Bu) ...

Motivated by quotient algorithms, such as the well-known $p$-quotient or solvable we describe how to compute extensions $\tilde H$ of a finite group $H$ direct sum isomorphic simple $\mathbb{Z}_p H$-modules that and have same number generators. Similar other our description will be via suitable covering $H$. Defining this requires study representation module, introduced Gasch\"utz in 1954. Our ...

In this paper, we introduce an algebra H from a subspace lattice with respect to a fixed flag which contains its incidence algebra as a proper subalgebra. We then establish a relation between the algebra H and the quantum affine algebra Uq1/2(ŝl2), where q denotes the cardinality of the base field. It is an extension of the well-known relation between the incidence algebra of a subspace lattice...

this study was conducted to compare the bio-efficacy of herbal methionine (h-met) relative to dl-methionine (dl-met) on 160 “ross 308” broiler chickens. dl-met and h-met were added to the basal diet in eight experimental treatments with three and four concentrations respectively in starter, grower and finisher period. blood parameters which were measured at 24 and 42 days of age consisted of: s...