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September 2018 On the second radical elements of lattice modules
Narayan Phadatare, Vilas Kharat
Tbilisi Math. J. 11(4): 165-173 (September 2018). DOI: 10.32513/tbilisi/1546570892

Abstract

Let $L$ be a $C$-lattice and $M$ be a lattice module over $L$. For a non-zero element $N\in M$, join of all second elements $X$ of $M$ with $X\leq N$ is called the second radical of $N$, and it is denoted by $\sqrt[s]{N}$. In this paper, we study some properties of second radical of elements of $M$ and obtain some related results.

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Narayan Phadatare. Vilas Kharat. "On the second radical elements of lattice modules." Tbilisi Math. J. 11 (4) 165 - 173, September 2018. https://doi.org/10.32513/tbilisi/1546570892

Information

Received: 9 November 2017; Accepted: 10 November 2018; Published: September 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07172295
MathSciNet: MR3954214
Digital Object Identifier: 10.32513/tbilisi/1546570892

Subjects:
Primary: 06B23
Secondary: 06B75

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 4 • September 2018
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