TY - JOUR
ID - 21429
TI - Extension of Krull's intersection theorem for fuzzy module
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Sedighi, Ali Reza
AU - Hosseini, Mohammad Hossein
AD - Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran.
AD - Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.
Y1 - 2017
PY - 2017
VL - 05
IS - 1
SP - 9
EP - 20
KW - $mu$-Fuzzy filtered module
KW - Fuzzy inverse system
KW - Fuzzy topological group
KW - Krull's intersection theorem
DO - 10.22130/scma.2017.21429
N2 - In this article we introduce $\mu$-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between $\mu$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the $\mu$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept $\mu$-adic completion.
UR - https://scma.maragheh.ac.ir/article_21429.html
L1 - https://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf
ER -