Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 197-203 |
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Goudarzi L. Weak ϕ-Ideals and Weak $c^#$-Ideals. IJMSI 2026; 21 (2) :197-203
URL: http://ijmsi.ir/article-1-2359-en.html
URL: http://ijmsi.ir/article-1-2359-en.html
Abstract:
In 2021, Ciloglu and Towers introduced the notion of a weak c-ideal of a Lie algebra, and used it give some characterizations of solvable and supersolvable Lie algebras. In this paper, analogously, we introduce the notions of weak ϕ-ideals and weak c#-ideals, and obtain some new characterizations of solvable and supersolvable Lie algebras by using these notions.
Type of Study: Research paper |
Subject:
Special
References
1. D. W. Barnes, On the Cohomology of Soluble Lie Algebras, Math. Z., 101, (1967), 343-349. [DOI:10.1007/BF01109799]
2. Z. Ciloglu Sahin, D. A. Towers, Weak c-ideals of a Lie Algebra, Turk. J. Math., 45, (2021), 1940-1948. [DOI:10.3906/mat-2006-55]
3. L. Goudarzi, C#-Ideals of Lie Algebras, J. Algebraic Syst., 9(1), (2021), 45-51.
4. L. Goudarzi, Z. Riyahi, On ϕ-ideals and the Structure of Lie Algebras, J. Algebra Appl., 20(10), (2021), 2150193. [DOI:10.1142/S0219498821501930]
5. J. Patera, R. T. Sharp, P. Winternitz, H. Zassenhaus, Invariants of Real Low Dimension Lie Algebras, J. Math. Phys., 17(6), (1976) 986-944. [DOI:10.1063/1.522992]
6. A. R. Salemkar, S. Chehrazi, F. Tayanloo, Characterizations for Supersolvable Lie Algebras, Comm. Algebra, 41, (2013), 2310-2316. [DOI:10.1080/00927872.2012.658482]
7. E. Stitzinger, On the Frattini Subalgebra of a Lie Algebra, J. London Math. Soc., 2, (1970), 429-438. [DOI:10.1112/jlms/2.Part_3.429]
8. D. A. Towers, A Frattini Theory for Algebras, Proc. London Math. Soc., 27, (1973), 440-462. [DOI:10.1112/plms/s3-27.3.440]
9. D. A. Towers, C-Ideals of Lie Algebras, Comm. Algebra, 37, (2009), 4366-4373. [DOI:10.1080/00927870902829023]
10. D. A. Towers, Subalgebras that Cover or Avoid Chief Factors of Lie Algebras, Proc. Amer. Math. Soc., 143, (2015), 3377-3385. [DOI:10.1090/S0002-9939-2015-12533-6]
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