[PDF][PDF] On multiplication modules
U Tekir - International Mathematical Forum, 2007 - academia.edu
Let R be a commutative ring with identity and M be a unital R-module. Then M is called a
multiplication module provided for every submodule N of M there exists an ideal I of R such …
multiplication module provided for every submodule N of M there exists an ideal I of R such …
[PDF][PDF] On prime and semiprime submodules of multiplication modules
R Jahani-Nezhad, MH Naderi - International Mathematical Forum, 2009 - m-hikari.com
Let R be a commutative ring. An R-module M is called a multiplication module if for each
submodule N of M, N= IM, for some ideal I of R. In this paper, first we define the notion of …
submodule N of M, N= IM, for some ideal I of R. In this paper, first we define the notion of …
[PDF][PDF] A short note on the primary submodules of multiplication modules
A Short Note on the Primary Submodules of Multiplication Modules Page 1 International Journal
of Algebra, Vol. 1, 2007, no. 8, 381 - 384 A Short Note on the Primary Submodules of …
of Algebra, Vol. 1, 2007, no. 8, 381 - 384 A Short Note on the Primary Submodules of …
[PDF][PDF] Some applications of the product of submodules in multiplication modules
A Azizi, C Jayaram - Iranian Journal of Science, 2011 - ijsts.shirazu.ac.ir
Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication
R-module M. ThenN= IM and K= JM for some ideals I and J of R. The product of N and K …
R-module M. ThenN= IM and K= JM for some ideals I and J of R. The product of N and K …
[PDF][PDF] Ideals and submodules of multiplication modules
SC Lee, S Kim, SC Chung - J. Korean Math. Soc, 2005 - scholar.archive.org
Let R be a commutative ring with identity and let M be an R-module. Then M is called a
multiplication module if for every submodule N of M there exists an ideal I of R such that N …
multiplication module if for every submodule N of M there exists an ideal I of R such that N …
Submodules of multiplication modules
SE Atani - Taiwanese Journal of Mathematics, 2005 - projecteuclid.org
Let R be a commutative ring with identity (zero-divisors admitted). Various properties of
submodules a multiplication module are considered. In fact, our aim here is to generalize …
submodules a multiplication module are considered. In fact, our aim here is to generalize …
The product of multiplication submodules
SE Atani - Honam Mathematical Journal, 2005 - koreascience.kr
Let R be a commutative ring with non-zero identity. This paper is devoted to the study some
of properties of the product of submodules of a multiplication module. Suppose N is a …
of properties of the product of submodules of a multiplication module. Suppose N is a …
On principal ideal multiplication modules
A Azizi, C Jayaram - Ukrainian Mathematical Journal, 2017 - Springer
Let R be a commutative ring with identity and let M be a unitary R-module. A submodule N of
M is said to be a multiple of M if N= rM for some r 𝜖 R. If every submodule of M is a multiple …
M is said to be a multiple of M if N= rM for some r 𝜖 R. If every submodule of M is a multiple …
Multiplication modules and ideals
GM Low, PF Smith - Communications in Algebra, 1990 - Taylor & Francis
Throughout this note all rings are commutative with identity and all modules are unital. Let R
be a ring and M an R-module. For any submodule N of M the annihilator of the factor module …
be a ring and M an R-module. For any submodule N of M the annihilator of the factor module …
[PDF][PDF] On multiplication modules
SE Atani, SKG Ghaleh - International Mathematical Forum, 2006 - Citeseer
ON MULTIPLICATION MODULES 1 Introduction Page 1 International Mathematical Forum, 1,
2006, no. 24, 1175 - 1180 ON MULTIPLICATION MODULES S. Ebrahimi Atani and S …
2006, no. 24, 1175 - 1180 ON MULTIPLICATION MODULES S. Ebrahimi Atani and S …