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https://hdl.handle.net/20.500.14365/4818| Title: | Sheffer Stroke R0−Algebras | Authors: | Katıcan Tuğçe Öner, T. Saeid, A.B. |
Keywords: | (prime) Ideal (Sheffer stroke) R0−algebra Congruence relation Sheffer stroke |
Publisher: | Yazd University | Abstract: | The main objective of this study is to introduce Sheffer stroke R0−algebra (for short, SR0− algebra). Then it is stated that the axiom system of a Sheffer stroke R0−algebra is independent. It is indicated that every Sheffer stroke R0−algebra is R0−algebra but specific conditions are necessarily for the inverse. Afterward, various ideals of a Sheffer stroke R0−algebra are defined, a congruence relation on a Sheffer stroke R0−algebra is determined by the ideal and quotient Sheffer stroke R0−algebra is built via this congruence relation. It is proved that quotient Sheffer stroke R0−algebra constructed by a prime ideal of this algebra is totally ordered and the cardinality is less than or equals to 2. After all, important conclusions are obtained for totally ordered Sheffer stroke R0−algebras by applying various properties of prime ideals. © 2023 Yazd University. | URI: | https://doi.org/10.22034/as.2023.3006 https://hdl.handle.net/20.500.14365/4818 |
ISSN: | 2423-3447 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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