External direct products on dual UP (BCC)-algebras

Chanmanee, C.; Chinram, R.; Prasertpong, R.; Julatha, P.; Iampan, A.

doi:10.22436/jmcs.029.02.07

Cited by 3 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They also established the idea of the B-algebraic WDP. Chanmanee et al [5] proposed the idea of the DP of infinite family of UP-algebras and showed that it is a DUP-algebra in the same year, referring to the EDP as a DUP-algebra induced by UP-algebras. Chanmanee et al [3] established the idea of the DP of an infinite family of UP (BCC)-algebras, which they dubbed the EDP, and discovered the outcome of the EDP of certain UP (BCC)-algebras.…”

Section: Introductionmentioning

confidence: 99%

A Note on External Direct Products of BP-algebras

Chanmanee¹,

Prasertpong²,

Julatha³

et al. 2023

View full text Add to dashboard Cite

The notion of BP-algebras was introduced by Ahn and Han [2] in 2013, which is related to several classes of algebra. It has been examined by several researchers. In the group, the concept of the direct product (DP) [21] was initially developed and given some features. Then, other algebraic structures are subjected to DP groups. Lingcong and Endam [16] examined the idea of the DP of (0-commutative) B-algebras and B-homomorphisms in 2016 and discovered several related features, one of which is a DP of two Balgebras that is a B-algebra. Later on, the concept of the DP of B-algebra was expanded to include finite family B-algebra, and some of the connected issues were researched. In this work, the external direct product (EDP), a general concept of the DP, is established, and the results of the EDP for certain subsets of BP-algebras are determined. In addition, we define the weak direct product (WDP) of BP-algebras. In light of the EDP BP-algebras, we conclude by presenting numerous essential theorems of (anti-)BP-homomorphisms.

show abstract

Section: Introductionmentioning

confidence: 99%

A Note on External Direct Products of BP-algebras

Chanmanee¹,

Prasertpong²,

Julatha³

et al. 2023

View full text Add to dashboard Cite

show abstract

“…For more research on these aspects, see the papers [7][8][9]. For some basic and recent papers related to non-associative BCC-algebras and B-filters in this field, we refer to [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Hopf Quasigroup Galois Extensions and a Morita Equivalence

Guo

Wang

2023

Mathematics

View full text Add to dashboard Cite

show abstract

A Morita-Takeuchi Context and Hopf Coquasigroup Galois Coextensions

Guo

Wang

2023

Symmetry

View full text Add to dashboard Cite

For H a Hopf quasigroup and C, a left quasi H-comodule coalgebra, we show that the smash coproduct C⋊H (as a symmetry of smash product) is linked to some quotient coalgebra Q=C/CH*+ by a Morita-Takeuchi context (as a symmetry of Morita context). We use the Morita-Takeuchi setting to prove that for finite dimensional H, equivalent conditions for C/Q to be a Hopf quasigroup Galois coextension (as a symmetry of Galois extension). In particular, we consider a special case of quasigroup graded coalgebras as an application of our theory.

show abstract

External direct products on dual UP (BCC)-algebras

Abstract: The concept of the direct product of finite family of B-algebras is introduced by Lingcong and Endam [

Cited by 3 publications

References 9 publications

A Note on External Direct Products of BP-algebras

A Note on External Direct Products of BP-algebras

Hopf Quasigroup Galois Extensions and a Morita Equivalence

A Morita-Takeuchi Context and Hopf Coquasigroup Galois Coextensions

Contact Info

Product

Resources

About