Constraction of a core regular double MS-algebra

El-Mohsen, Abd Badawy

doi:10.2298/fil2001035b

Filomat

2020

DOI: 10.2298/fil2001035b

|View full text |Cite

Constraction of a core regular double MS-algebra

Abd Badawy El-Mohsen¹

Abstract: In this paper, we introduce and characterize a core regular double MS-algebra. A construction of a core regular double MS-algebra M [2] via a de Morgan algebra M is given. A one to one correspondence between the class of de Morgan algebras and the class of core regular double MS-algebras is obtained. According to such construction we investigate many properties of a core regular double MS-algebra deal with subalgebras, homomorphisms, atoms and dual atoms. A description of an atomic core regular double MS-algeb… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

k-filters and k-$$\{^*\}$$-congruences of core regular double Stone algebras

Badawy,

Gomaa

2024

Soft Comput

View full text Add to dashboard Cite

In this paper, we investigate various elegant filters and congruences of the class of core regular double Stone algebras (briefly CRD-Stone algebras). We define and characterize the concepts of k-filters and principal k-filters of a core regular double Stone algebra with the core element k, as well as their algebraic structures. We also look at k-$$\{^*\}$$ { ∗ } -congruences and principal k-$$\{^*\}$$ { ∗ } -congruences of a CRD-Stone algebra L that are induced by k-filters and principal k-filters of L, respectively. We find an isomorphism between the lattice $$F_{k}(L)$$ F k ( L ) of all k-filters of L (the lattice $$F_{k}^{p}(L)$$ F k p ( L ) principal k-filters of L) and the lattice $$Con^{*}_{k}(L)$$ C o n k ∗ ( L ) of all k-$$\{^*\}$$ { ∗ } -congruences on L (the lattice $$Con^{*}_{k}(L)$$ C o n k ∗ ( L ) of all principal k-$$\{^*\}$$ { ∗ } -congruences) of a CRD-Stone algebra L.

show abstract

k-filters and k-$$\{^*\}$$-congruences of core regular double Stone algebras

Badawy,

Gomaa

2024

Soft Comput

View full text Add to dashboard Cite

show abstract

On subalgebras of MS-algebras

Badawy,

EL-Maghrabi,

Helmy

2024

Soft Comput

View full text Add to dashboard Cite

In this paper, we introduce the concepts of subalgebras, principal subalgebras and $$d_{L}$$ d L -subalgebras of a principal MS-algebra and describe the lattices of such subalgebras. Also, we describe a subalgebra [S] that generated by a subset S of an MS-algebra (principal MS-algebra) L and study related properties. Finally, we determine and characterize the principal subalgebras of a principal MS-algebra via admissible pairs.

show abstract

Congruence Pairs of Decomposable MS-Algebras

El-Assar

Badawy

2021

Chin. Ann. Math. Ser. B

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Constraction of a core regular double MS-algebra

Cited by 4 publications

References 11 publications

k-filters and k-$$\{^*\}$$-congruences of core regular double Stone algebras

k-filters and k-$$\{^*\}$$-congruences of core regular double Stone algebras

On subalgebras of MS-algebras

Congruence Pairs of Decomposable MS-Algebras

Contact Info

Product

Resources

About