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Semi-ideal Convex Effect Algebras.
- Source :
-
International Journal of Theoretical Physics . May2024, Vol. 63 Issue 5, p1-14. 14p. - Publication Year :
- 2024
-
Abstract
- In this paper, we first construct a convex structure by ideals of effect algebras. Then we discuss convex properties of morphisms and monomorphisms between effect algebras. Further, we prove that partial binary operations ⊕ and ⊖ are separately convexity-preserving for the first position with respect to ideal convex structures when the effect algebra is a lattice effect algebra. A lattice effect algebra equipped with an ideal convex structure is called a semi-ideal convex effect algebra. Finally, we obtain that finite product and quotient of semi-ideal convex effect algebras are also semi-ideal convex effect algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207748
- Volume :
- 63
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Theoretical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 177058233
- Full Text :
- https://doi.org/10.1007/s10773-024-05642-7