On intuitionistic L-fuzzy primary and P-primary submodules

P. K. Sharma 1 * and Kanchan 2

doi:10.26637/MJM0804/0014

On intuitionistic L-fuzzy primary and P-primary submodules

Authors :

P. K. Sharma^{1 *} and Kanchan ²

Author Address :

¹ Post-Graduate Department of Mathematics, DAV College, Jalandhar, Punjab, India.
²Research Scholar, IKGPT University, Jalandhar, Punjab, India.

*Corresponding author.

Abstract :

In the present manuscript, we introduce and study the notion of primary submodules as well as $P$-primary submodules of a module in the intuitionistic $L$-fuzzy environment. Apart from investigating basic properties of these submodules, we explore some foundational results analogous to corresponding submodules. A suitable characterization of intuitionistic $L$-fuzzy primary ( $P$-primary) submodules in terms of primary ($P$-primary) submodules are presented.

Keywords :

Intuitionistic $L$-fuzzy module(ILFM); Intuitionistic $L$-fuzzy (prime, primary) ideal; Intuitionistic $L$-fuzzy (primary, $P$-primary) submodule.

DOI :

10.26637/MJM0804/0014

Article Info :

Received : July 21, 2020; Accepted : September 02, 2020.