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ABSORBING ELEMENTS IN LATTICE MODULES

Year 2016, , 58 - 76, 01.06.2016
https://doi.org/10.24330/ieja.266193

Abstract

In this paper we introduce and investigate 2-absorbing, n-absorbing,
(n, k)-absorbing, weakly 2-absorbing, weakly n-absorbing and weakly (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
rad(N) is a 2-absorbing element of M.

Year 2016, , 58 - 76, 01.06.2016
https://doi.org/10.24330/ieja.266193

Abstract

There are 0 citations in total.

Details

Subjects Mathematical Sciences
Other ID JA94ER56UV
Journal Section Articles
Authors

C. S. Manjarekar This is me

A. V. Bingi This is me

Publication Date June 1, 2016
Published in Issue Year 2016

Cite

APA Manjarekar, C. S., & Bingi, A. V. (2016). ABSORBING ELEMENTS IN LATTICE MODULES. International Electronic Journal of Algebra, 19(19), 58-76. https://doi.org/10.24330/ieja.266193
AMA Manjarekar CS, Bingi AV. ABSORBING ELEMENTS IN LATTICE MODULES. IEJA. June 2016;19(19):58-76. doi:10.24330/ieja.266193
Chicago Manjarekar, C. S., and A. V. Bingi. “ABSORBING ELEMENTS IN LATTICE MODULES”. International Electronic Journal of Algebra 19, no. 19 (June 2016): 58-76. https://doi.org/10.24330/ieja.266193.
EndNote Manjarekar CS, Bingi AV (June 1, 2016) ABSORBING ELEMENTS IN LATTICE MODULES. International Electronic Journal of Algebra 19 19 58–76.
IEEE C. S. Manjarekar and A. V. Bingi, “ABSORBING ELEMENTS IN LATTICE MODULES”, IEJA, vol. 19, no. 19, pp. 58–76, 2016, doi: 10.24330/ieja.266193.
ISNAD Manjarekar, C. S. - Bingi, A. V. “ABSORBING ELEMENTS IN LATTICE MODULES”. International Electronic Journal of Algebra 19/19 (June 2016), 58-76. https://doi.org/10.24330/ieja.266193.
JAMA Manjarekar CS, Bingi AV. ABSORBING ELEMENTS IN LATTICE MODULES. IEJA. 2016;19:58–76.
MLA Manjarekar, C. S. and A. V. Bingi. “ABSORBING ELEMENTS IN LATTICE MODULES”. International Electronic Journal of Algebra, vol. 19, no. 19, 2016, pp. 58-76, doi:10.24330/ieja.266193.
Vancouver Manjarekar CS, Bingi AV. ABSORBING ELEMENTS IN LATTICE MODULES. IEJA. 2016;19(19):58-76.