Almost relative strongly M –flat modules

AUTHOR AND
AFFILIATION

M.R.ALONEY and GOVIND SAHU
(Research Scholor) Bhagwant University Ajmer, Raj. (India)

KEYWORDS:

Flat, module, sub- module, strongly injective and projective, strongly projective, annihilator, exact sequence, homomorphism, epimorphism, finitely generated

Issue Date:

April 2015

Pages:

ISSN:

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

Source:

Vol.27 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

Throughout this paper we have defined a new concept of almost
strongly M-flat modules11 and we are motivated10. And given several
properties of them13. This paper concept introduced as a generalization
of flat modules.
There are two part in discussion
In first part we study Almost strongly M-flat modules and in
second section we study about the homomorphism
( , )→ ( )
Where A is an R-algebra, XJ and NJ is R-modules.
And last result we prove M be almost strongly M-flat modules
then following statement are equivalent.
a) Any finitely generated ideal I is almost M-projective
b) Every submodule of M is almost strongly M-flat modules.
c) Every flat module is almost strongly M-flat module.

Copy the following to cite this Article:

M.R.ALONEY and GOVIND SAHU, “Almost relative strongly M –flat modules”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016


Copy the following to cite this URL:

M.R.ALONEY and GOVIND SAHU, “Almost relative strongly M –flat modules”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/322/


Throughout this paper we have defined a new concept of almost
strongly M-flat modules11 and we are motivated10. And given several
properties of them13. This paper concept introduced as a generalization
of flat modules.
There are two part in discussion
In first part we study Almost strongly M-flat modules and in
second section we study about the homomorphism
( , )→ ( )
Where A is an R-algebra, XJ and NJ is R-modules.
And last result we prove M be almost strongly M-flat modules
then following statement are equivalent.
a) Any finitely generated ideal I is almost M-projective
b) Every submodule of M is almost strongly M-flat modules.
c) Every flat module is almost strongly M-flat module.