## A study on Strongly U-Flat Modules over Matlis Domains

#### AUTHOR AND AFFILIATION

ASHWANI KUMAR GARG
Department of Education in Science and Mathematics, Regional Institute of Education, NCERT, Bhopal (M. P.), (India)
DHIRENDRA KUMAR SHUKLA
Department of Education in Science and Mathematics, Regional Institute of Education, NCERT, Bhopal (M. P.), (India)
BRAJENDRA TIWARI3
Professor, Department of Mathematics, RKDF University, Bhopal (M. P.), (India)

#### KEYWORDS:

U-flat modules, Matlis domains, Prufer domain

May 2020

47-53

#### ISSN:

2319-8044 (Online) – 2231-346X (Print)

Vol.32 – No.5

#### DOI:

http://dx.doi.org/10.22147/jusps-A/320503

#### ABSTRACT:

In the article, R be a ring with local units that have discussed. For any ME mod-R, the map \mu(M1+M2):

(M1+M2)\rightarrow(M1+M2) given by Σn i-1/j=1 (Mi + Mj) =1 ⨂ri Σn i-1/j=1 \rightarrow(Mi + Mj) ⨂r be an isomorphism of right R-modules. Strongly U-Flat Modules over Matlis Domains has defined and discussed with their properties to know the relations.

A. K. Garg; D. K. Shukla; B. Tiwari3, “A study on Strongly U-Flat Modules over Matlis Domains”, Journal of Ultra Scientist of Physical Sciences, Volume 32, Issue 5, Page Number 47-53, 2020

#### Copy the following to cite this URL:

A. K. Garg; D. K. Shukla; B. Tiwari3, “A study on Strongly U-Flat Modules over Matlis Domains”, Journal of Ultra Scientist of Physical Sciences, Volume 32, Issue 5, Page Number 47-53, 2020

Available from: http://www.ultrascientist.org/paper/1533/

In thbe article, R be a ring with local units that have discussed. For any ME mod-R, the map $\mu$(M1+M2):

(M1+M2)$\rightarrow$(M1+M2) given by Σn i-1/j=1 (Mi + Mj) =1 ⨂ri Σn i-1/j=1  $\rightarrow$(Mi + Mj) ⨂r be an isomorphism of right R-modules. Strongly U-Flat Modules over Matlis Domains has defined and discussed with their properties to know the relations.