MODULES WITH FINITELY MANY SUBMODULES

Gabriel Picavet; Martine Picavet-l’hermitte

doi:10.24330/ieja.266197

MODULES WITH FINITELY MANY SUBMODULES

Year 2016, Volume: 19 Issue: 19, 119 - 131, 01.06.2016

Gabriel Picavet Martine Picavet-l’hermitte

https://doi.org/10.24330/ieja.266197

Cited By: 12

https://izlik.org/JA53LK82HZ

Abstract

We characterize ring extensions R ⊂ S having FCP (FIP), where
S is the idealization of some R-module. As a by-product we exhibit characterizations
of the modules that have finitely many submodules. Our tools
are minimal ring morphisms, while Artinian conditions on rings are ubiquitous.

Keywords

Idealization , ∆0-extension , SPIR , minimal ring extension , rami- fied , subintegral extension , FIP , FCP extension , Artinian ring

Year 2016, Volume: 19 Issue: 19, 119 - 131, 01.06.2016

Gabriel Picavet Martine Picavet-l’hermitte

https://doi.org/10.24330/ieja.266197

Cited By: 12

https://izlik.org/JA53LK82HZ

Abstract

There are 0 citations in total.

Details

Subjects	Mathematical Sciences
Other ID	JA98VH47FN
Authors	Gabriel Picavet This is me Martine Picavet-l’hermitte This is me
Publication Date	June 1, 2016
DOI	https://doi.org/10.24330/ieja.266197
IZ	https://izlik.org/JA53LK82HZ
Published in Issue	Year 2016 Volume: 19 Issue: 19

Cite

APA	Picavet, G., & Picavet-l’hermitte, M. (2016). MODULES WITH FINITELY MANY SUBMODULES. International Electronic Journal of Algebra, 19(19), 119-131. https://doi.org/10.24330/ieja.266197
AMA	1.Picavet G, Picavet-l’hermitte M. MODULES WITH FINITELY MANY SUBMODULES. IEJA. 2016;19(19):119-131. doi:10.24330/ieja.266197
Chicago	Picavet, Gabriel, and Martine Picavet-l’hermitte. 2016. “MODULES WITH FINITELY MANY SUBMODULES”. International Electronic Journal of Algebra 19 (19): 119-31. https://doi.org/10.24330/ieja.266197.
EndNote	Picavet G, Picavet-l’hermitte M (June 1, 2016) MODULES WITH FINITELY MANY SUBMODULES. International Electronic Journal of Algebra 19 19 119–131.
IEEE	[1]G. Picavet and M. Picavet-l’hermitte, “MODULES WITH FINITELY MANY SUBMODULES”, IEJA, vol. 19, no. 19, pp. 119–131, June 2016, doi: 10.24330/ieja.266197.
ISNAD	Picavet, Gabriel - Picavet-l’hermitte, Martine. “MODULES WITH FINITELY MANY SUBMODULES”. International Electronic Journal of Algebra 19/19 (June 1, 2016): 119-131. https://doi.org/10.24330/ieja.266197.
JAMA	1.Picavet G, Picavet-l’hermitte M. MODULES WITH FINITELY MANY SUBMODULES. IEJA. 2016;19:119–131.
MLA	Picavet, Gabriel, and Martine Picavet-l’hermitte. “MODULES WITH FINITELY MANY SUBMODULES”. International Electronic Journal of Algebra, vol. 19, no. 19, June 2016, pp. 119-31, doi:10.24330/ieja.266197.
Vancouver	1.Picavet G, Picavet-l’hermitte M. MODULES WITH FINITELY MANY SUBMODULES. IEJA [Internet]. 2016 June 1;19(19):119-31. Available from: https://izlik.org/JA53LK82HZ