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On t-derivations of PMS-algebras
Nibret Melese Kassahun1,2, Berhanu Assaye Alaba1, Yohannes Gedamu Wondifraw1
1Mathematics, Bahir Dar University College of Science, Bahir Dar, Amhara, 6000, Ethiopia.
Background:
PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such as Boolean algebras and MV-algebras.
Methods:
In this paper, we introduce the concept of t-derivations on PMS algebras. T-derivations are a type of mapping between PMS algebras that satisfies certain properties. We then study the properties of t-derivations and regular t-derivations on PMS algebras.
Results:
We characterize further properties of t-derivations in the context of PMS algebras. We also investigate a novel result of t-derivations on the G-part of a PMS-algebra. Finally, we prove that the set of all t-derivations on a PMS-algebra forms a semigroup.
Conclusions:
This paper provides a comprehensive study of t-derivations on PMS algebras. We have established several new results and characterized the properties of t-derivations in detail. Our results contribute to the further understanding of PMS algebras and their associated structures.
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