On t-derivations of PMS-algebras [version 1; peer review: 2 approved]
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-...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
F1000 Research Ltd
2025-01-01
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| Series: | F1000Research |
| Subjects: | |
| Online Access: | https://f1000research.com/articles/14-70/v1 |
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| Summary: | 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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| ISSN: | 2046-1402 |