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Balance functors and relative tilting modules (Journal Article) (Record no. 45410)

MARC details
000 -LEADER
fixed length control field 01618nam a22001937a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240205120206.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240205b ||||| |||| 00| 0 eng d
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
ISSN 0019-5588
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Mao, Lixin
245 ## - TITLE STATEMENT
Title Balance functors and relative tilting modules (Journal Article)
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication New Delhi
Name of publisher :Indian National Science Academy | Springer
Year of publication ,2023
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1040-1055p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Indian Journal of Pure and Applied Mathematics
Volume number/sequential designation , Volume 54: Number 4, December 2023
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note ***______{For Hard Copy, Please visit Library.}________***<br/><br/><br/>
520 ## - SUMMARY, ETC.
Summary, etc Abstract: Let \mathfrak {C} and \mathfrak {D} be two classes of left R-modules, l_{\mathfrak {D}}\mathfrak {C} = the class of all left R-modules admitting exact left \mathfrak {C}-resolutions which are \mathrm{Hom}(-,\mathfrak {D})-exact, r_{\mathfrak {C}}\mathfrak {D} = the class of all left R-modules admitting exact right \mathfrak {D}-resolutions which are \mathrm{Hom}(\mathfrak {C},-)-exact. We first study some properties of l_{\mathfrak {D}}\mathfrak {C} and r_{\mathfrak {C}}\mathfrak {D}. Then, using the Hom balance functor determined by the above two special classes of modules, we introduce and investigate F-(Wakamatsu) tilting and F-(Wakamatsu) cotilting modules which are possibly infinitely generated over arbitrary rings for an additive subfunctor F of \mathrm{Ext}^{1}(-,-). Some classical results are extended.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Balance functor| F-Wakamatsu tilting module| F-Wakamatsu cotilting module| n-F-tilting module| n-F-cotilting module
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/s13226-022-00320-y
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Periodicals
Holdings
Lost status Damaged status Home library Current library Date acquired Koha item type
    RIE BPL Library RIE BPL Library 05.02.2024 Periodicals

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