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Representation Theory of Geigle-Lenzing Complete Intersections
Weighted projective lines, introduced by Geigle and Lenzing in 1987, are important objects in representation theory. They have
tilting bundles, whose endomorphism algebras are the canonical algebras introduced by Ringel. The aim of this paper is to study their
higher dimensional analogs. First, we introduce a certain class of commutative Gorenstein rings
eBook
Simulating distributional impacts of macro-dynamics : theory and practical applications
\"Simulating Distributional Impacts of Macro-dynamics: Theory and Practical Applications is a comprehensive guide for analyzing and understanding the effects of macroeconomic shocks on income and consumption distribution, as well as for using the ADePT Simulation Module. Since real-time micro data is rarely available, the Simulation Module (part of the ADePT economic analysis software) takes advantage of historical household surveys to estimate how current or proposed macro changes might impact household and individual welfare\"--Back cover.
Book
Quasi-Coregular Modules
In this paper, we introduce the concept of quasi - copure submodules which is ageneralization of a copure submodules. Weused this concept to define the class of quasi - coregular module, where an R-module M iscalled quasi -coregular module if every submodule of M is quasi-co-pure. Many results about thisconcept are proved.
Journal Article
Characteristic Zero Resolution of Weyl Module in the Case of the Partition (8,7,3)
In this paper, we studied the resolution of Weyl module for characteristic zero in the case of partition (8,7,3) by using mapping Cone which enables us to get the results without depended on the resolution of Weyl module for characteristic free for the same partition.
Journal Article
Experimental study of the extraction process of coniferous plants
The article presents the results of studying the influence of such factors as the contact surface of the phases, the degree of grinding of the material, the nature of the flow and the ratio of the two phases called the hydro-module. It has been experimentally proven that at a hydro-module of 1: 4.1: 5, soluble components diffuse to the surface of the material, mixing and dissolving almost completely. By choosing a more acceptable hydro-module, it is possible to obtain a large percentage yield of the extract with the most valuable components, as well as to intensify the extraction process.
Journal Article
Extended curvatures and Lie pseudoalgebras
The aim of the paper is to prove that if some extended curvatures on a preinfinitesimal module L , considered in the paper, vanish, then the derived preinfinitesimal module L (1) is a Lie pseudoalgebra. Two non-trivial examples are given. The first example is when L 0 is an infinitesimal module and the second one is when L 1 is a preinfinitesimal module.
Journal Article
A New Results of Injective Module with Divisible Property
In this paper, we will present a new result that clarify the relationship between divisible module and Injective module. But before starting to give the most important results, we need to present the following lemma with some basic definitions that help us reach the desired goal.
Journal Article
The Representation Theory of the Increasing Monoid
We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation
category: for example, we describe the Grothendieck group (including the effective cone), classify injective objects, establish
properties of injective and projective resolutions, construct a derived auto-duality, and so on. Our work is motivated by numerous
connections of this theory to other areas, such as representation stability, commutative algebra, simplicial theory, and shuffle
algebras.
eBook
P-(S. P) Submodules and C1(Extending) Modules
In this work, we study C 1 -(extending) module M through the sub-module of M which have two properties namely prime and semi-prime (P. (S. P)). Indeed these properties with another concept like fully invariant of any sub-modules explain the main objective of this study. Also heart submodule of a module M and the socle of M are studied with fully invariant property to obtain the same objective.
Journal Article