TY - JOUR
ID - 87510
TI - Relation between Sheffer Stroke and Hilbert algebras
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Oner, Tahsin
AU - Katican, Tugce
AU - Borumand Saeid, Arsham
AD - Department of Mathematics, Ege University, 35100 Izmir, Turkey
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of
Kerman, Kerman, Iran.
Y1 - 2021
PY - 2021
VL - 14
IS - 1
SP - 245
EP - 268
KW - Hilbert algebra
KW - Sheffer stroke
KW - Sheffer stroke Hilbert algebra
DO - 10.29252/cgasa.14.1.245
N2 - In this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic structure. Then it is stated the relationship between Sheffer stroke Hilbert algebra and Hilbert algebra by defining a unary operation on Sheffer stroke Hilbert algebra. Also, it is presented deductive system and ideal of this algebraic structure. It is defined an ideal generated by a subset of a Sheffer stroke Hilbert algebra, and it is constructed a new ideal of this algebra by adding an element of this algebra to its ideal.
UR - https://cgasa.sbu.ac.ir/article_87510.html
L1 - https://cgasa.sbu.ac.ir/article_87510_0c7d162f32c37f1f0916408dfd6b27ae.pdf
ER -