Results 11 to 20 of about 53 (52)

Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors

Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023
Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol, Yann Palu, Vincent Pilaud, Pierre‐Guy Plamondon   +3 more
wiley   +1 more source

A hybrid strategy blending primal‐dual interior point and return mapping methods for a class of hypoelastic‐plastic models with memory surface

International Journal for Numerical Methods in Engineering, Volume 124, Issue 9, Page 1991-2013, 15 May 2023., 2023
Abstract By blending the primal‐dual interior point method (PDIPM) and the return mapping algorithm, we propose a hybrid strategy of implicit stress update for a class of hypoelastic‐plastic models with the hardening rule whose evolution is restricted by the memory surface.
Yuichi Shintaku, Fumitoshi Nakamura, Kenjiro Terada   +2 more
wiley   +1 more source

Applications of AG‐Groupoids in Decision‐Making via Linear Diophantine Fuzzy Sets

Discrete Dynamics in Nature and Society, Volume 2023, Issue 1, 2023., 2023
In this paper, we investigated the notion of a linear Diophantine fuzzy set (LDFS) by using the concept of a score function to build the LDF‐score left (right) ideals and LDF‐score (0,2)‐ideals in an AG‐groupoid. We used these newly developed LDF‐score ideals to characterize an AG‐groupoid.
Faisal Yousafzai, Muhammad Danish Zia, Mohammed M. Khalaf, Esmail Hassan Abdullatif Al-Sabri, Rashad Ismail, Ewa Pawluszewicz   +5 more
wiley   +1 more source

A New Graphical Representation of the Old Algebraic Structure

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem, Imran Siddique, Md. Ashraful Alam, Waqas Ali, Xuanlong Ma   +4 more
wiley   +1 more source

The coordinate algebra of extended affine Lie algebras of type A(1).

, 1999
In this thesis we classify the coordinate algebra of extended affine Lie algebras, EALA's for short, of type A1. The coordinate algebras of EALA's of the other reduced types were already described in [6], [7] and [2].
Yoshii, Yoji.
core   +2 more sources

The Mal'tsev correspondence and isomorphisms of niltriangular subrings of Chevalley algebras

, 2020
Models of algebraic systems of a first-order language are called elementarily equivalent (we write ) if every sentence that is true in one of the models is also true in the other model. The model-theoretic study of linear groups and rings initiated by A.
Левчук, В. М., Зотов, И. Н.   +1 more
core   +1 more source

The Niltriangular Subalgebra of the Chevalley Algebra: the Enveloping Algebra, Ideals, and Automorphisms

, 2018
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The enveloping algebra of the niltriangular subalgebra NΦ(K) of the Chevalley algebra of type An−1 is the algebra of niltriangular n × n matrices over K.
Levchuk, V. M., V. M. Levchuk
core   +1 more source

Chromatic Polynomials and Cryptographic Hashing on WIP‐Quasigroup Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cryptographic hash functions are indispensable for today’s information security because they secure data integrity, authentication and encrypted storage. Recently, graph‐theoretic constructions have acquired interest in the design of hash functions because of their noteworthy sensitivity to structural alterations and rich combinatorial structure ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Komiljon Mustafoyev, Samuel Asefa Fufa, Smritijit Sen   +5 more
wiley   +1 more source

Polynomial Representations of Weak Inverse Property Quasigroups and Their Role in Cryptographic Primitives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A connection between cryptography and polynomial functions is extremely significant. Mathematical performance of polynomials helps to enhance the cryptographic primitives, which are trustworthy as well as straightforward representation tools, in everyday use. In this research, explicit topological sequences Qf which correspond to degree‐based, distance‐
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Nwazish Ali, Abdu Qaid Alameri, Bin Pang   +5 more
wiley   +1 more source

Application additivity and b-decomposition of Wedderburn

, 2019
A tese está dividida em duas partes. A primeira parte é dedicada a análise de quando certas aplicações definidas em uma classe de anéis não-associativos são aditivas. Esta questão foi estudada para anéis associativos por Martindale, [38], e outros, [35],
Ferreira, Bruno Leonardo Macedo
core   +1 more source