The relationship between EQ algebras and equality algebras
نویسندگان
چکیده
It is proved that every involutive equivalential equality algebra (E, ∧, ∼, 1), an residualted lattice EQ-algebra, which operation ⊗ defined by x y = (x → 0 ) . Moreover, it showen EQ-algebra we have
منابع مشابه
ON TOPOLOGICAL EQ-ALGEBRAS
In this paper, by using a special family of filters $mathcal{F}$ on an EQ-algebra $E$, we construct a topology $mathcal{T}_{mathcal{mathcal{F}}}$ on $E$ and show that $(E,mathcal{T}_{mathcal{F}})$ is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ-algebras and quotient topological EQ-algebras. Then we o...
متن کاملTense like equality algebras
In this paper, first we define the notion of involutive operator on bounded involutive equality algebras and by using it, we introduce a new class of equality algebras that we called it a tense like equality algebra. Then we investigate some properties of tense like equality algebra. For two involutive bounded equality algebras and an equality homomorphism between them, we prove that the tense ...
متن کاملGeneralized states on EQ-algebras
In this paper, we introduce a notion of generalized states from an EQ-algebra E1 to another EQ-algebra E2, which is a generalization of internal states (or state operators) on an EQ-algebra E. Also we give a type of special generalized state from an EQ-algebra E1 to E1, called generalized internal states (or GI-state). Then we give some examples and basic properties of generalized (internal) st...
متن کاملOn good EQ-algebras
A special algebra called EQ-algebra has been recently introduced by Vilém Novák. Its original motivation comes from fuzzy type theory, in which the main connective is fuzzy equality. EQ-algebras have three binary operations meet, multiplication, fuzzy equality and a unit element. They open the door to an alternative development of fuzzy (manyvalued) logic with the basic connective being fuzzy e...
متن کاملthe relationship between eq, iq and test format: a study on test fairness
the major aim of this study was to investigate the relationship between iq, eq and test format in the light of test fairness considerations. this study took this relationship into account to see if people with different eq and iq performed differently on different test formats. to this end, 90 advanced learners of english form college of ferdowsi university of mashhad were chosen. they were ask...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quasigroups and Related Systems
سال: 2023
ISSN: ['1561-2848']
DOI: https://doi.org/10.56415/qrs.v30.26