Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1394
7
1
gregorian
2015
10
1
10
2
online
1
fulltext
en
Free Extended BCK-Module
عمومى
General
پژوهشي
Research paper
<p dir="ltr">In this paper, by considering the notion of extended BCK-module, we define the concepts of free extended BCK-module, free object in category of extended BCK-modules and we state and prove some related results. Specially, we define the notion of idempotent extended BCK-module and we get some important results in free extended BCK-modules. In particular, in category of idempotent extended BCK-modules, we give a method to make a free object on a nonempty set and in BCK-algebra of order 2, we give a method to make a basis for unitary extended BCK-modules. Finally, we define the notions of projective and productive modules and we investigate the relation between free modules and projective modules. In special case, we state the relation between free modules and productive modules.</p>
BCK-algebra, Extended BCK-module, Free extended BCK-module.
29
43
http://ijmsi.ir/browse.php?a_code=A-10-523-1&slc_lang=en&sid=1
R. A.
Borzooei
borzooei@sbu.ac.ir
10031947532846006221
10031947532846006221
Yes
Department of Mathematics, Shahid Beheshti University
S.
Saidi Goraghani
SiminSaidi@yahoo.com
10031947532846006222
10031947532846006222
No
Department of Mathematics, Islamic Azad University of Central Tehran