# Second and Secondary Lattice Modules

Authors: Fethi Çallıalp; Ünsal Tekir; Emel Aslankarayiğit Uğurlu; Kürşat Hakan Oral
Journal: The Scientific World Journal
 (2014)

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## Abstract

LetM be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a
∈
L, a
1
M
=
1
M or a
1
M
=
0
M. A nonzero L-lattice module M is called secondary if for each a
∈
L, a
1
M
=
1
M or a
n
1
M
=
0
M for some n
>
0. Our objective is to investigative properties of second and secondary lattice modules.


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## Body


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*Source: 291924-2014-10-14.xml*