Geodesic
Maximal Bp-Subalgebras of B-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 25-36

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We provide some properties of maximal B_p-subalgebras of B-algebras. In particular, we show that for each prime p, a finite B-algebra has a maximal B_p-subalgebra. We also show that for a finite B-algebra of order p^rm, where (p, m) = 1, any two maximal B_p-subalgebras are conjugate and the number of maximal B_p-subalgebras is kp + 1 for some k ∈ ℤ^+.
Keywords: B-algebras, subalgebras, Bp-subalgebras, maximal Bp-sub-algebras 
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     author = {Bantug, Jenette and Endam, Joemar},
     title = {Maximal {B\protect\textsubscript{p}-Subalgebras} of {B-Algebras}},
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Bantug, Jenette; Endam, Joemar. Maximal Bp-Subalgebras of B-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 25-36. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a2/