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Delfan, A., Rasouli, H., Moradipour, K.. (1401). Co-intersection graph of subacts of an act. فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), 1-12. doi: 10.22124/jart.2022.20275.1299
A. Delfan; H. Rasouli; K. Moradipour. "Co-intersection graph of subacts of an act". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 2, 1401, 1-12. doi: 10.22124/jart.2022.20275.1299
Delfan, A., Rasouli, H., Moradipour, K.. (1401). 'Co-intersection graph of subacts of an act', فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), pp. 1-12. doi: 10.22124/jart.2022.20275.1299
Delfan, A., Rasouli, H., Moradipour, K.. Co-intersection graph of subacts of an act. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(2): 1-12. doi: 10.22124/jart.2022.20275.1299

Co-intersection graph of subacts of an act

Journal of Algebra and Related Topics
دوره 10، شماره 2، اسفند 2022، صفحه 1-12    اصل مقاله (312.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2022.20275.1299
نویسندگان
A. Delfan* 1؛ H. Rasouli2؛ K. Moradipour3
1Department of Mathematics, Khorramabad Branch, Islamic Azad University, Iran
2Department of Mathematics, Science and Research Branch , Islamic Azad University, Tehran, Iran
3Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran
چکیده
In this paper, we define the co-intersection graph $G(A)$ of an \(S\)-act \(A\) which is a graph whose vertices are non-trivial subacts of \(A\) and two  distinct  vertices \(B_1\) and \( B_2\) are adjacent if \(B_1 \cup B_2\neq A\).  We investigate the relationship between the algebraic properties of an  \(S\)-act \(A\) and the properties of the graph $G(A)$.
 
کلیدواژه‌ها
S -act؛ co-intersection graph؛ subact
مراجع
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3. A. Delfan, H. Rasouli and A. Tehranian, Intersection graphs associated with semigroup acts, Categ. Gen. Algebr. Struct. Appl. 11 (2019), 131-148.
4. A.A. Estaji and A. Haghdadi, Zero divisor graphs for S-act, Lobachevskii J. Math. (1) 36 (2015), 1-8.
5. M. Kilp, U. Knauer and A.V. Mikhalev, Monoids, Acts and Categories. de Gruyter Expositions in Mathematics, 29. de Gruyter, Berlin, 2000.
6. L. A. Mahdavi and Y. Talebi, Co-intersection graph of submodules of module, Algebra Discrete Math, (1) 21 (2016), 128-143.
7. L. A. Mahdavi and Y. Talebi, Properties of Co-intersection graph of submodules of a module, J. Prime Res. Math. 13 (2017), 16-29.
8. H. Rasouli and A. Tehranian, Intersection graphs of S-acts, Bull. Malays. Math. Sci. Soc. (4) 38 (2015), 1575-1587.
9. D. B. West, Introduction to Graph Theory. Prentice Hall, 2001.

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