The dual notion of multiplication modules
H Ansari-Toroghy, F Farshadifar - Taiwanese journal of mathematics, 2007 - JSTOR
THE DUAL NOTION OF MULTIPLICATION MODULES Page 1 TAIWANESE JOURNAL OF
MATHEMATICS Vol. 11, No. 4, pp. 1189-1201, September 2007 This paper is available online …
MATHEMATICS Vol. 11, No. 4, pp. 1189-1201, September 2007 This paper is available online …
On the dual notion of prime submodules (II)
H Ansari-Toroghy, F Farshadifar - Mediterranean journal of mathematics, 2012 - Springer
Let R be a commutative ring and let M be an R-module. In this paper, we study the dual
notion of prime submodules (that is, second submodules of M). Also we introduce the dual …
notion of prime submodules (that is, second submodules of M). Also we introduce the dual …
Comultiplication modules and related results
H Ansari-Toroghy, F Farshadifar - Honam mathematical Journal, 2008 - koreascience.kr
Let R be a commutative ring (with identity). In this Page 1 Honam Mathematical J. 30 (2008),
No. 1, pp. 91-99 COMULTIPLICATION MODULES AND RELATED RESULTS H. ANSARI-TOROGHY …
No. 1, pp. 91-99 COMULTIPLICATION MODULES AND RELATED RESULTS H. ANSARI-TOROGHY …
On the prime submodules of multiplication modules
R Ameri - … journal of Mathematics and mathematical Sciences, 2003 - Wiley Online Library
By considering the notion of multiplication modules over a commutative ring with identity,
first we introduce the notion product of two submodules of such modules. Then we use this …
first we introduce the notion product of two submodules of such modules. Then we use this …
Comultiplication modules over commutative rings
Y Al-Shaniafi, PF Smith - Journal of commutative algebra, 2011 - JSTOR
Let 𝑅 be a commutative ring with identity. A unital 𝑅-module 𝑀 is a comultiplication module
provided for each submodule 𝑁 of 𝑀 there exists an ideal 𝐴 of 𝑅 such that 𝑁 is the set of …
provided for each submodule 𝑁 of 𝑀 there exists an ideal 𝐴 of 𝑅 such that 𝑁 is the set of …
Multiplication modules
AA Tuganbaev - Journal of Mathematical Sciences, 2004 - Springer
All rings are assumed to be associative and with nonzero identity element. Unless otherwise
stated all modules are unital right modules. Expressions such as “a Noetherian ring” mean …
stated all modules are unital right modules. Expressions such as “a Noetherian ring” mean …
On the dual notion of prime submodules
H Ansari-Toroghy, F Farshadifar - Algebra Colloquium, 2012 - World Scientific
Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of
prime submodules (that is, second submodules of M) and investigate the conditions under …
prime submodules (that is, second submodules of M) and investigate the conditions under …
[引用][C] Some remarks on multiplication modules
PF Smith - Archiv der Mathematik, 1988 - Springer
In this note all rings are commutative rings with identity and all modules are unital. Let R be
a commutative ring with identity. An R-module M is called a multiplication module provided …
a commutative ring with identity. An R-module M is called a multiplication module provided …
[引用][C] On the ring of endomorphisms of a finitely generated multiplication module
AG Naoum - Periodica Mathematica Hungarica, 1990 - Springer
Let R be a commutative ring with l, and A is a (right) unitary R-module. The module A is said
to be a multiplication module if every submodule N of A has the form AI for some ideal I of R …
to be a multiplication module if every submodule N of A has the form AI for some ideal I of R …
Multiplication modules and the ideal
DD Anderson, Y Al-Shaniafi - 2002 - Taylor & Francis
Let be a commutative ring and an-module. Then is a multiplication module if for each
submodule of. The ideal of has proved useful in studying multiplication modules. We show …
submodule of. The ideal of has proved useful in studying multiplication modules. We show …