NDLI: Pseudo-Valuation Modules

Please wait, while we are loading the content...

Pseudo-Valuation Modules

Content Provider	Springer Nature Link
Author	Jahani Nezhad, Reza Khoshayand, Foroozan
Copyright Year	2015
Abstract	The aim of this paper is to generalize the notion of pseudo-valuation to modules over arbitrary commutative rings. We generalize the notion of strongly prime ideal, as defined in Badawi et al. (Lecture Notes in Pure and Applied Mathematics 185:57–67, 1997, to the notion of strongly prime submodule. We define a module M to be a pseudo-valuation module if every prime submodule of M is strongly prime. It is shown that if M has a maximal submodule N, then M is pseudo-valuation if and only if N is strongly prime. Also, we characterize strongly prime submodules in pseudo-valuation modules. We investigate some properties of these modules, and study relations between some structures and these modules.
Ending Page	484
Page Count	8
Starting Page	477
File Format	PDF
ISSN	2305221X
e-ISSN	23052228
Journal	Vietnam Journal of Mathematics
Issue Number	3
Volume Number	44
Language	English
Publisher	Springer Singapore
Publisher Date	2015-10-19
Publisher Place	Singapore
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Pseudo-valuation ring Ideals; multiplicative ideal theory Strongly prime ideal Valuations and their generalizations Dedekind, PrÃ¼fer, Krull and Mori rings and their generalizations Mathematics Valuation rings Uniserial module
Content Type	Text
Resource Type	Article
Subject	Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in