Geodesic
On L-fuzzy multiplication modules
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 209-221.

Voir la notice de l'article provenant de la source Library of Science

Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime L-fuzzy submodules of L-fuzzy multiplication modules are characterized.
Keywords: L-fuzzy multiplication modules, L-fuzzy Noetherian modules, L-fuzzy radical, generalized maximal L-fuzzy submodules 
@article{DMGAA_2017_37_2_a7,
     author = {Atani, Shahabaddin Ebrahimi and Saraei, Fatemeh Esmaeili Khalil},
     title = {On {L-fuzzy} multiplication modules},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {209--221},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a7/}
}
TY  - JOUR
AU  - Atani, Shahabaddin Ebrahimi
AU  - Saraei, Fatemeh Esmaeili Khalil
TI  - On L-fuzzy multiplication modules
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2017
SP  - 209
EP  - 221
VL  - 37
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a7/
LA  - en
ID  - DMGAA_2017_37_2_a7
ER  - 
%0 Journal Article
%A Atani, Shahabaddin Ebrahimi
%A Saraei, Fatemeh Esmaeili Khalil
%T On L-fuzzy multiplication modules
%J Discussiones Mathematicae. General Algebra and Applications
%D 2017
%P 209-221
%V 37
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a7/
%G en
%F DMGAA_2017_37_2_a7
Atani, Shahabaddin Ebrahimi; Saraei, Fatemeh Esmaeili Khalil. On L-fuzzy multiplication modules. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 209-221. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a7/

[1] D.D. Anderson, Some remarks on multiplication ideals, Math. Japon. 25 (1980) 463-469.

[2] D.D. Anderson, Some remarks on multiplication ideals II, Comm. Algebra 28 (2000) 2577-2583. doi: 10.1080/00927870008826980

[3] A. Acar, On L-fuzzy prime Submodules, Hacettepe J. Math. Statist. 34 (2005) 17-25.

[4] R. Ameri, A. Kordi and S. Sarka-Mayerova, Multiplicative hyperring of fractions and coprime hyperideals, An. Stiint. Univ. Ovidius Constanta Ser. Mat. 25 (2017) 5-23. doi: 10.1515/avom-2017-0001

[5] R. Ameri and R. Mahjoob, Spectrum of prime L-submodules, Fuzzy Sets and Systems 159 (2008) 1107-1115. doi: 10.1016/j.fss.2007.08.011

[6] N. Ali Ahmed, C-closed sets in L-fuzzy topological spaces and some its applications, Turkish J. Math. 26 (2002) 254-262.

[7] A. Barnard, Multiplication modules, J. Algebra 71 (1981) 174-178. doi: 10.1016/0021-8693(81)90112-5

[8] Z. Elbast and P.F. Smith, Multiplication modules, Comm. Algebra 16 (1988) 755-779. doi: 10.1080/00927878808823601

[9] I. Goguen, L-fuzzy sets, J. Math. Appl. 18 (1967) 145-174. doi: 10.1016/0022-247X(67)90189-8

[10] K.H. Lee and J.N. Mordeson, Factionary fuzzy ideals and Dedekind domains, Fuzzy Sets and Systems 99 (1998) 105-110. doi: 10.1016/S0165-0114(97)00012-2

[11] W.J. Liu, Operation on fuzzy ideals, Fuzzy Sets and Systems 11 (1983) 31-41. doi: 10.1016/S0165-0114(83)80067-0

[12] L. Martinez, Prime and primary L-fuzzy ideals of L-fuzzy ring, Fuzzy Sets and Systems 101 (1999) 489-494. doi: 10.1016/S0165-0114(97)00114-0

[13] J.N. Mordeson and D.S. Malik, Fuzzy Commutative Algebra (World Scientific Publishing, Singapor, 1998).

[14] R.L. McCasland, M.E. Moore and P.F. Smith, On the spectrum of a module over a commutative ring, Comm. Algebra 25(1) (1997) 79-103. doi: 10.1080/00927879708825840

[15] A. Rosenfeld, Fuzzy groups, J. Math. Appl. 35 (1971) 512-517. doi: 10.1016/0022-247X(71)90199-5

[16] F.I. Sidky, On radicals of fuzzy submodules and primary fuzzy submodules, Fuzzy Sets and System 119 (2001) 419-425. doi: 10.1016/S0165-0114(99)00101-3

[17] P.F. Smith, Some remarks on multiplication modules, Arch. Math 50 (1988) 223-235. doi: 10.1007/BF01187738

[18] L.A. Zadeh, Fuzzy Sets, Inform and Control 8 (1965) 338-353. doi: 10.1016/S0019-9958(65)90241-X