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Author: Jonathan S. Golan
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 680
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Book Description
Author: Jonathan S. Golan
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 680
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Book Description
Author: Joachim Lambek
Publisher: Springer
ISBN: 354036448X
Category : Mathematics
Languages : en
Pages : 100
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With an Appendix on Torsion Theories and Dominant Dimensions
Author: Apostolos Beligiannis
Publisher: American Mathematical Soc.
ISBN: 0821839969
Category : Mathematics
Languages : en
Pages : 224
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Book Description
In this paper the authors investigate homological and homotopical aspects of a concept of torsion which is general enough to cover torsion and cotorsion pairs in abelian categories, $t$-structures and recollements in triangulated categories, and torsion pairs in stable categories. The proper conceptual framework for this study is the general setting of pretriangulated categories, an omnipresent class of additive categories which includes abelian, triangulated, stable, and moregenerally (homotopy categories of) closed model categories in the sense of Quillen, as special cases. The main focus of their study is on the investigation of the strong connections and the interplay between (co)torsion pairs and tilting theory in abelian, triangulated and stable categories on one hand,and universal cohomology theories induced by torsion pairs on the other hand. These new universal cohomology theories provide a natural generalization of the Tate-Vogel (co)homology theory. The authors also study the connections between torsion theories and closed model structures, which allow them to classify all cotorsion pairs in an abelian category and all torsion pairs in a stable category, in homotopical terms. For instance they obtain a classification of (co)tilting modules along theselines. Finally they give torsion theoretic applications to the structure of Gorenstein and Cohen-Macaulay categories, which provide a natural generalization of Gorenstein and Cohen-Macaulay rings.
Author: Jonathan S. Golan
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 142
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Author: Joachim Lambek
Publisher:
ISBN: 9783662195727
Category :
Languages : en
Pages : 104
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Author: J. Wallace Joyce
Publisher:
ISBN:
Category : Gravity
Languages : en
Pages : 52
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Author: K. R. Goodearl
Publisher: American Mathematical Soc.
ISBN: 0821818244
Category : Mathematics
Languages : en
Pages : 97
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Book Description
This paper is concerned with studying necessary and sufficient conditions on a ring [italic]R such that for certain classes of right [italic]R-modules, the singular submodule of any member of the class is a direct summand of the module. The classes of interest are the class of all right [italic]R-modules, the class of all finitely generated right [italic]R-modules, and the class of all right [italic]R-modules whose singular submodules have bounded order.
Author: S.K. Jain
Publisher: Springer Science & Business Media
ISBN: 1461219787
Category : Mathematics
Languages : en
Pages : 330
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Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3662131838
Category : Science
Languages : en
Pages : 600
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Book Description
This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.
Author:
Publisher:
ISBN: 9780387053400
Category :
Languages : en
Pages : 0
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