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·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to:
Random dynamical systems
Geometry and physics
Dynamical systems with hyperbolic behaviour
Real and complex geometry
Ergodic theory
Distance geometry
Topological dynamics
Global differential geometry
Infinite-dimensional Hamiltonian systems
Symplectic geometry, contact geometry
The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.
Issues up to 2022 co-published with and available at:
This study analyzes ADL frameworks by examining ⊕-divisibility alongside the distinct roles of ⊕-prime and ⊕-irreducible elements. A novel congruence relation is introduced via multiplier filters, leading to necessary and sufficient conditions under which the resulting quotient ADL assumes the structure of a Boolean algebra. Furthermore, the study provides a characterization of ⊕−prime and ⊕−irreducible elements through their intrinsic connection to multiplier filters. These theoretical developments have significant interdisciplinary potential, particularly in engineering fields such as digital circuit design, fault-tolerant computing, data encryption, and decision logic systems. The formalism and properties of ⊕−irreducible elements offer robust mathematical tools for enhancing the design and analysis of complex systems where logical structure, redundancy minimization, and computational integrity are paramount.
[1] U. M. Swamy and G. C. Rao, “Almost distributive lattices,” Journal of the Australian Mathematical Society (Series A), vol. 31, pp. 77–91 (1981).[2] G. C. Rao and M. Sambasiva Rao, “Annulets in almost distributive lattices,” European Journal of Pure and Applied Mathematics, vol. 2, no. 1, pp. 58–72 (2009).[3] N. Rafi and R. K. Bandaru, “µ−filters of almost distributive lattices,” Chamchuri Journal of Mathematics, vol. 10, pp. 53–65 (2018).[4] R. Vasu Babu, N. Rafi, R. V. N. Srinivasa Rao, Y. Monikarchana, and S. M. Shaw, “D-divisibility of almost distributive lattices,” Asia Pacific Journal of Mathematics, vol. 11, pp. 24 (2024).[5] N. Rafi, R. K. Bandaru, and G. C. Rao, “On divisibility of almost distributive lattices,” Bulletin of the International Mathematical Virtual Institute, vol. 5, pp. 171–180 (2015).[6] A. P. Phaneendra Kumar, M. Sambasiva Rao, and K. Sobhan Babu, “Divisibility and filters in distributive lattices,” Palestine Journal of Mathematics, vol. 11, no. 2, pp. 143–151 (2022).[7] G. C. Rao, “Almost distributive lattices,” Ph.D. dissertation, Dept. of Mathematics, Andhra University, Visakhapatnam, India (1980).[8] G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., vol. 25. Providence, RI: American Mathematical Society (1967).[9] G. Grätzer, General Lattice Theory. New York, NY: Academic Press (1978).[10] G. C. Rao and S. Ravi Kumar, “Minimal prime ideals in an ADL,” International Journal of Contemporary Sciences, vol. 4, pp. 475–484 (2009).
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