On subalgebras of MS-algebras

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2024年11月27日

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Abd El-Mohsen Badawy,
A. I. EL-Maghrabi,
Alaa Helmy

摘要

In this paper, we introduce the concepts of subalgebras, principal subalgebras and $d_{L}$ $d_{L}$ -subalgebras of a principal MS-algebra and describe the lattices of such subalgebras. Also, we describe a subalgebra [S] that generated by a subset S of an MS-algebra (principal MS-algebra) L and study related properties. Finally, we determine and characterize the principal subalgebras of a principal MS-algebra via admissible pairs.