Results 21 to 30 of about 160,139 (111)

[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan   +6 more
wiley   +1 more source

On Characterization of Graphs Structures Connected with Some Algebraic Properties

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we have characterized graph structures connected with some algebraic properties. Also, this paper is actually the concatenation of graph theory and algebra. We have introduced left and right inverse graphs of antiautomorphic inverse property loops.
Rongbing Huang   +5 more
wiley   +1 more source

An holomorphic study of Smarandache automorphic and cross inverse property loops [PDF]

open access: yes, 2008
By studying the holomorphic structure of automorphic inverse property uasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a Smarandache; AIPL, CIPL, K ...
Gbolahan, Temitoe   +1 more
core   +1 more source

The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective

open access: yesFortschritte der Physik, Volume 69, Issue 7, July 2021., 2021
Abstract The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of DFT, focusing on the attempts of a global description. In [1] we proposed that the global doubled space is
Luigi Alfonsi
wiley   +1 more source

Weak Hopf Algebra and Its Quiver Representation

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan   +5 more
wiley   +1 more source

Parastrophic invariance of Smarandache quasigroups [PDF]

open access: yes, 2006
The study of the Smarandache concept in groupoids was initiated by W.B. Vasantha Kandasamy in [18]. In her book and first paper on Smarandache concept in loops, she defined a Smarandache loop as a loop with at least a subloop which forms a subgroup ...
Gbolahan, Temitope
core   +1 more source

Smarandache isotopy of second Smarandache Bol loops [PDF]

open access: yes, 2011
The study of the Smarandache concept in groupoids was initiated by W. B. Vasantha Kandasamy . In her book and first paper on Smarandache concept in loops, she defined a Smarandache loop (S ¡ loop) as a loop with at least a subloop which forms a subgroup ...
Gbolahan, Temitope
core   +1 more source

An holomorphic study of the Smarandache concept in loops [PDF]

open access: yes, 2006
If two loops are isomorphic, then it is shown that their holomorphs are also isomorphic.
Gbolahan, Temitope
core   +1 more source

Topology of quasi divisor graphs associated with non-associative algebra

open access: yesAin Shams Engineering Journal
The visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem   +4 more
doaj   +1 more source

Right product quasigroups and loops

open access: yes, 2009
15 pages; v2: minor corrections to author ...
Phillips, J D, Krapez, A, Kinyon, M K
openaire   +3 more sources

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