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Friday, May 8, 2020 | History

4 edition of Relative finiteness in module theory found in the catalog.

Relative finiteness in module theory

by Toma Albu

  • 98 Want to read
  • 18 Currently reading

Published by M. Dekker in New York .
Written in English

    Subjects:
  • Modules (Algebra)

  • Edition Notes

    StatementToma Albu, Constantin Năstăsescu.
    SeriesMonographs and textbooks in pure and applied mathematics ;, 84
    ContributionsNăstăsescu, C. 1943-
    Classifications
    LC ClassificationsQA247 .A5217 1984
    The Physical Object
    Paginationxii, 190 p. :
    Number of Pages190
    ID Numbers
    Open LibraryOL2844964M
    ISBN 100824771435
    LC Control Number84007014

    A series of results by Asensio and Torrecillas (, Comm. Algebra20, –), Gordon and Robson (, “Krull Dimension,” Memoirs of the American M Cited by: 7.   We study groups whose cohomology functors commute with filtered colimits in high dimensions. We relate this condition to the existence of projective resolutions which exhibit some finiteness properties in high dimensions, and to the existence of Eilenberg–Mac Lane spaces with finitely many n-cells for all sufficiently large n. To that end, we determine the structure of completely finitary Cited by: 4.

    This invaluable, informative research volume provides a collection of invited research papers, many of which were presented at the 23rd Ohio State-Denison Math Conference held at Denison University, Granville, in May The articles included give the latest developments and trends in Classical Ring Theory, highlighting the cross-fertilization of new techniques and ideas developed to answer. introduction to the field of International Relations theory. In 20 short chapters the book provides a highly readable and comprehensive overview of core theoretical frameworks ranging from ‘mainstream’ realism and liberalism all the way to queer theory and critical geography. By placing each theory inFile Size: 2MB.

    ⋆⋆ The goals of this book 18 Part I. Preliminaries 21 Chapter 1. Some category theory 23 Motivation 23 Categories and functors 25 Universal properties determine an object up to unique isomorphism 31 Limits and colimits 39 Adjoints 43 An introduction to abelian categories 46 ⋆ Spectral sequences - 4 3. A - - ' ~heorem of Finiteness • ill • Under the conditions of (), if J't is also A-pure, we are going to show that, locally for the ~tale topology on S, f*~ is a sub-module of a free module. This enables us to prove the following theorem: THEORm.: (J.l): Let A be a noetherian ring, f: X-"S = Spec(A) a morphism of finite type, J'l a coherent C9;(-.


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Relative finiteness in module theory by Toma Albu Download PDF EPUB FB2

Additional Physical Format: Online version: Albu, Toma. Relative finiteness in module theory. New York: M. Dekker, © (OCoLC) Material Type. Additional info for Relative Finiteness in Module Theory.

Sample text. K Es genügt also wieder zu zeigen, dass man zu einem beliebigen, aber festen ε 0 > 0 eine Zahl x0 > 0 findet mit: 0 + ε0 > 3x0. 2 Konvergenz von Folgen 33 Ein solches x0 finden wir wie oben nach einigen Äquivalenzumformungen, mit deren Hilfe wir wieder x0 isolieren /5(40).

Find many great new & used options and get the best deals for Pure and Applied Mathematics: Relative Finiteness in Module Theory Vol. 84 by T. Albu and C. Nastasescu (, Hardcover) at the best online prices at eBay. Free shipping for many products.

Albu has authored or coauthored several books, including "Relative Finiteness in Module Theory" () and "Cogalois Theory" (), Marcel Dekker, and over papers appearing in various international journals. He was a Humboldt Research Fellow. Albu and C.

Năstăsescu, Relative Finiteness in Module Theory (Marcel Dekker, New York, Basel, ). Google Scholar T. Albu and P. Smith, Chain Conditions in Cited by: 7. The papers listed below, as well as the joint monograph Relative Finiteness in Module Theory, Marcel Dekker, have been cited by more than 75 authors from all over the world in about citations.

This joint monograph is a basic reference for specialists working in the field of finiteness conditions on modules with respect to hereditary. T. Albu and C. Nastasescu, Relative finiteness in module theory, Dekker, New York, zbMATH Google ScholarCited by: 5.

Foundations of Module and Ring Theory. Foundations of Module and Ring Theory book. Foundations of Module and Ring Theory.

Dual finiteness conditions. By Wisbauer Robert. Definition. Construction. Inverse limit of morphisms. Inverse systems of exact sequences. Hom-functors and : Wisbauer Robert. On the one hand this book intends to provide an introduction to module theory and the related part of ring theory.

Starting from a basic understand-ing of linear algebra the theory is presented with complete proofs. From the beginning the approach is categorical. On the other hand the presentation includes most recent results and includes new ones.

EES EVIER TOPOLOGY AND ITS APPLICATIONS Topology and its Applications 92 () Cohomology relative to a Cr-set and finiteness conditions Brita E.A. Nucinkis1'2 Faculty a/Mathematical Studies, University a/Southampton, Highfield, Southampton 50/7 1BJ, UK Received 25 February ; received in revised form 3 July8 September Abstract We shall consider a cohomology theory Cited by: In the s and s it has been generalized to modules over non-unital rings by Shock[10], to modules satisfying the descending chain condition relative to a heriditary torsion theory by Miller Author: Toma Albu.

The aim of this paper is to study the relationship between the dual Krull dimension of R-modules relative to a Gabriel topology F on a commutative ring R and the Krull dimension of R relative to F.

Dual Relative Krull Dimension of Modules Over Commutative Rings | SpringerLinkCited by: 9. RELATIVE FINITENESS FOR GRADED MODULES It is known that if R is a graded ring of type G (G is a finitely generated abelian group) and MeR-gT is a gr-noetherian ^-module, then M is noetherian [9].

In this section we prove a relative version of this result for the case G = by: 4. An associative ring R is a left Kasch ring if it contains a copy of every simple left R-module.

Transferring this notion to modules we call a left R-module М a Kasch module if it contains a copy of every simple module in σ [M]. The aim of this paper is to characterize and investigate this class of modules.

T. Albu and C. Nastasescu, Relative Finiteness in Module Theory, Text in Pure and Appl. Math. 84, Marcel-Dekker, Google ScholarAuthor: Blas Torrecillas. Height relative to a torsion theory. Relative Finiteness in Module Theory. The concepts of primitive ideal and semicocritical module with respect to a torsion theory are studied and.

Rings Fileds Books. On the one hand this book intends to provide an introduction to module theory and the related part of ring theory. Topics covered includes: Elementary properties of rings, Module categories, Modules characterized by the Hom-functor, Notions derived from simple modules, Finiteness conditions in modules, Dual finiteness.

These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory.

Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. This book explores the nature of finiteness, one of most commonly used notions in descriptive and theoretical linguistics but possibly one of the least understood.

Scholars representing a variety of theoretical positions seek to clarify what it is and to establish its usefulness and limitations. In doing so they reveal cross-linguistically valid correlations between subject licensing, subject.

The relative graded Clifford theorem is a powerful tool in the study of -cocritical objects of the category R-gr where is a rigid localizing subcategory of R-gr. We show how our theory may be employed in order to study relative regular objects and (dual) relative Baer objects in abelian categories.

We also give applications to module and comodule.The renowned Hopkins–Levitzki Theorem and Osofsky–Smith Theorem from Ring and Module Theory, we will discuss in the last two sections of the paper, are among the most relevant illustrations of.T.

Albu and P. Vámos, Global Krull dimension and global dual Krull dimension of valuation rings, in “Abelian Groups, Module Theory, and Topology: Proceedings in Honor of Adalberto Orsatti’s 60th Birthday”, edited by D.

Dikranjan and L. Salce, Marcel Dekker, Cited by: 2.