A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs
Abstract
In this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph. Additionally, the cases where the zero divisor graph and the t-zero divisor graph are line graphs are investigated.
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Logic, Set Theory, Lattices and Universal Algebra
Journal Section
Research Article
Authors
Publication Date
December 30, 2025
Submission Date
August 17, 2025
Acceptance Date
October 13, 2025
Published in Issue
Year 2025 Volume: 17 Number: 2
APA
Bayrak Delice, D. (2025). A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs. Turkish Journal of Mathematics and Computer Science, 17(2), 562-572. https://doi.org/10.47000/tjmcs.1767545
AMA
1.Bayrak Delice D. A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs. TJMCS. 2025;17(2):562-572. doi:10.47000/tjmcs.1767545
Chicago
Bayrak Delice, Dilek. 2025. “A New Type of Zero Divisor Graphs of a Lattice, T-Zero Divisor Graphs”. Turkish Journal of Mathematics and Computer Science 17 (2): 562-72. https://doi.org/10.47000/tjmcs.1767545.
EndNote
Bayrak Delice D (December 1, 2025) A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs. Turkish Journal of Mathematics and Computer Science 17 2 562–572.
IEEE
[1]D. Bayrak Delice, “A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs”, TJMCS, vol. 17, no. 2, pp. 562–572, Dec. 2025, doi: 10.47000/tjmcs.1767545.
ISNAD
Bayrak Delice, Dilek. “A New Type of Zero Divisor Graphs of a Lattice, T-Zero Divisor Graphs”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 562-572. https://doi.org/10.47000/tjmcs.1767545.
JAMA
1.Bayrak Delice D. A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs. TJMCS. 2025;17:562–572.
MLA
Bayrak Delice, Dilek. “A New Type of Zero Divisor Graphs of a Lattice, T-Zero Divisor Graphs”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 562-7, doi:10.47000/tjmcs.1767545.
Vancouver
1.Dilek Bayrak Delice. A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs. TJMCS. 2025 Dec. 1;17(2):562-7. doi:10.47000/tjmcs.1767545