ABSORBING ELEMENTS IN LATTICE MODULES

Authors : C S Manjarekar, A V Bingi

Pages : 58-76

Doi:10.24330/ieja.266193

View : 13 | Download : 11

Publication Date : 2016-06-01

Article Type : Research Paper

Abstract :In this paper we introduce and investigate 2-absorbing, n-absorbing, insert ignore into journalissuearticles values(n, k);-absorbing, weakly 2-absorbing, weakly n-absorbing and weakly insert ignore into journalissuearticles values(n, k);- absorbing elements in a lattice module M. Some characterizations of 2- absorbing and weakly 2-absorbing elements of M are obtained. By counter example it is shown that a weakly 2-absorbing element of M need not be 2- absorbing. Finally we show that if N ∈ M is a 2-absorbing element, then radinsert ignore into journalissuearticles values(N); is a 2-absorbing element of M.
Keywords : 2 absorbing element, n absorbing element, n, k, absorbing element, weakly 2 absorbing element, rad N,