Title of article
SHEFFER STROKE R0−ALGEBRAS
Author/Authors
Katican ، Tugce Department of Mathematics - Faculty of Arts and Sciences - Izmir University of Economics , Oner ، Tahsin Department of Mathematics - Faculty of Science - Ege University , Borumand Saeid ، Arsham Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
From page
65
To page
85
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.
Keywords
Congruence relation , (prime) Ideal , (Sheffer stroke) R0−algebra , Sheffer stroke
Journal title
Journal of Algebraic Structures and Their Applications
Journal title
Journal of Algebraic Structures and Their Applications
Record number
2760447
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