The Zariski topology on the second spectrum of a module (II)

H Ansari-Toroghy, S Keyvani, F Farshadifar - Bulletin of the Malaysian …, 2016 - Springer
Let R be a commutative ring and M an R-module. Let Spec^ s (M) S pecs (M) be the
collection of all second submodules of M. In this article, we consider a new topology on …

On the maximal spectrum of a module and Zariski topology

H Ansari-Toroghy, S Keyvani - Bulletin of the Malaysian Mathematical …, 2015 - Springer
For any module M over a commutative ring R, Spec_ R (M) S pec R (M)(resp. Max_ R (M) M
ax R (M)) of M is the collection of all prime (resp. maximal) submodules. In this article, we …

On topological lattices and their applications to module theory

J Abuhlail, C Lomp - Journal of Algebra and its Applications, 2016 - World Scientific
Yassemi's “second submodules” are dualized and properties of its spectrum are studied.
This is done by moving the ring theoretical setting to a lattice theoretical one and by …

[PDF][PDF] On the prime spectrum of modules

H Ansari-Toroghy, SS Pourmortazavi - Miskolc Mathematical Notes, 2015 - real.mtak.hu
ON THE PRIME SPECTRUM OF MODULES Page 1 Miskolc Mathematical Notes HU e-ISSN
1787-2413 Vol. 16 (2015), No. 2, pp. 1233–1242 DOI: 10.18514/MMN.2015.1102 ON THE …

[PDF][PDF] Strongly cotop modules

H Ansari-Toroghy, SS Pourmortazavi… - Journal of Algebra and …, 2015 - jart.guilan.ac.ir
STRONGLY COTOP MODULES 1. Introduction Throughout this article, R denotes a commutative
ring with identity and all modules are u Page 1 Journal of Algebra and Related Topics Vol. 3, No …

[PDF][PDF] On the primary spectrum of a module and a primary ful module

EY HABEEB - Al-Qadisiyah Journal of Pure Science, 2016 - iasj.net
Al-Gadisiyah journal for pure seienee Vol. 21 Page 1 Al-Gadisiyah journal for pure seienee
Vol. 21 No, 4 Year 2016 ON THE PRIMARY SPECTRUM OF A MODULE AND A PRIMARY …

ON THE MAXIMAL SPECTRUM OF A MODULE

H Ansari-Toroghy, S Keyvani - Journal of Algebraic Systems, 2017 - jas.shahroodut.ac.ir
Let $ R $ be a commutative ring with identity. The purpose of this paper is to introduce and
study two classes of modules over $ R $, called $\mbox {Max} $-injective and $\mbox {Max} …