Development of Modified RSA Cryptosystem via Octonion Algebra.

Authors: Hamza, Mohammed Hassan¹ edu-math.post16@qu.edu.iq, Abboud, Sahab Mohsen² bsc.sahab.jwer@uobabylon.edu.iq, Yassein, Hassan Rashed³ hassan.yaseen@qu.edu.iq

Source: International Journal of Mathematics & Computer Science. 2025, Vol. 20 Issue 1, p459-464. 6p.

Subject Terms: *DATA encryption, *CAYLEY numbers (Algebra), *RESEARCH personnel, *ALGEBRA, *POLYNOMIALS

Octonion Polynomials for a More Secure RSA Public Key Cryptosystem.

Authors: Abboud, Sahab Mohsen¹ bsc.sahab.jwer@uobabylon.edu.iq, Ajeena, Ruma Kareem K.² ruma.k.kh@ihcoedu.uobaghdad.edu.iq, Yassein, Hassan Rashed³ hassan.yaseen@qu.edu.iq

Source: International Journal of Mathematics & Computer Science. 2025, Vol. 20 Issue 1, p281-284. 4p.

Subject Terms: *CAYLEY numbers (Algebra), *POLYNOMIALS, *ALGEBRA, *CRYPTOGRAPHY, *CRYPTOSYSTEMS, *PUBLIC key cryptography

On learning down-sets in quasi-orders, and ideals in Boolean algebras.

Authors: Bazhenov, Nikolay^1,2, nickbazh@yandex.ru, Mustafa, Manat³, manat.mustafa@nu.edu.kz

Source: Theory of Computing Systems; Mar2025, Vol. 69 Issue 1, p1-15, 15p

DECIDING EQUATIONS IN THE TIME WARP ALGEBRA.

Authors: VAN GOOL, SAM¹, vangool@irif.fr, GUATTO, ADRIEN¹, guatto@irif.fr, METCALFE, GEORGE², george.metcalfe@unibe.ch, SANTSCHI, SIMON²

Source: Logical Methods in Computer Science (LMCS); 2024, Vol. 20 Issue 1, p1-22, 22p

Soft Intersection Almost Bi-Quasi-Interior Ideals of Semigroups.

Authors: Sezgin, Aslihan¹, aslihan.sezgin@amasya.edu.tr, Baş, Zeynep Hare², zeynephare05@gmail.com, Ilgin, Aleyna², aleynailgiin@gmail.com

Source: Journal of Fuzzy Extension & Applications (JFEA); Mar2025, Vol. 6 Issue 1, p43-58, 16p

An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices.

Authors: Nan, Fanghong¹, Zhang, Teng¹, teng.zhang@stu.xjtu.edu.cn

Source: Linear & Multilinear Algebra; Mar2025, Vol. 73 Issue 4, p675-683, 9p

Biderivations, commuting linear maps, post-Lie algebra structure on solvable Lie algebras of maximal rank.

Authors: Oubba, Hassan¹, hassan.oubba@edu.umi.ac.ma

Source: Communications in Algebra; 2025, Vol. 53 Issue 3, p1181-1190, 10p

Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov algebras.

Authors: Towers, David A.¹, d.towers@lancaster.ac.uk

Source: Communications in Algebra; 2025, Vol. 53 Issue 3, p917-928, 12p

Picard-Vessiot extensions, linear differential algebraic groups, and their torsors.

Authors: Meretzky, David¹, dmeretzk@nd.edu, Pillay, Anand¹

Source: Communications in Algebra; 2025, Vol. 53 Issue 1, p148-161, 14p

Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits.

Authors: Limaye, Nutan¹ (AUTHOR) nuli@itu.dk, Srinivasan, Srikanth² (AUTHOR) srikanth@cs.au.dk, Tavenas, Sébastien³ (AUTHOR) sebastien.tavenas@univ-smb.fr

Source: Communications of the ACM. Feb2024, Vol. 67 Issue 2, p101-108. 8p.

Subject Terms: *Algorithms, Algebra, Polynomials, Circuit complexity, Directed acyclic graphs, Logic circuits

APPLICATION OF GENETIC ALGORITHM IN MESHLESS OPTIMIZATION OF ELASTIC FOUNDATION WITH RIBBED PLATES AND BEAMS.

Authors: XIAOMEI LIU¹, XiaomeiLiu5@126.com

Source: Scalable Computing: Practice & Experience; Mar2025, Vol. 26 Issue 2, p739-748, 10p

Accelerated linear algebra for large scale DFT calculations of materials on CPU/GPU architectures with CRYSTAL.

Authors: Ambrogio, Giacomo¹ (AUTHOR), Donà, Lorenzo¹ (AUTHOR), Desmarais, Jacques K.¹ (AUTHOR), Ribaldone, Chiara¹ (AUTHOR), Casassa, Silvia¹ (AUTHOR), Spiga, Filippo² (AUTHOR), Civalleri, Bartolomeo¹ (AUTHOR), Erba, Alessandro¹ (AUTHOR) alessandro.erba@unito.it

Source: Journal of Chemical Physics. 2/28/2025, Vol. 162 Issue 8, p1-13. 13p.

Subject Terms: *CENTRAL processing units, *LINEAR algebra, *MATRIX multiplications, *LINEAR acceleration, *DENSITY functional theory, *GRAPHICS processing units

Exploring Star Filters of Almost Distributive Lattices.

Authors: Khabyah, Ali Al¹ (AUTHOR) aalkhabyah@kku.edu.sa, Rafi, Noorbhasha² (AUTHOR) rafimaths@gmail.com, Ansari, Moin A.³ (AUTHOR) maansari@jazanu.edu.sa

Source: Axioms (2075-1680). Feb2025, Vol. 14 Issue 2, p96. 15p.

Subject Terms: *BOOLEAN algebra, *HAUSDORFF spaces, *STELLAR spectra, *TOPOLOGICAL property

SOME NOTES ON BA-ALGEBRAS – A NEW AXIOMATIZATION OF (BN+(D))-ALGEBRAS.

Authors: ROMANO, DANIEL ABRAHAM¹ daniel.a.romano@hotmail.com

Source: Journal of Advanced Mathematical Studies. Feb2025, Vol. 18 Issue 1, p47-59. 13p.

Subject Terms: *ALGEBRA, *AUTHORS

Finite Local Rings of Length 4.

Authors: Alabiad, Sami¹ (AUTHOR) aalhomaidhi@ksu.edu.sa, Alhomaidhi, Alhanouf Ali¹ (AUTHOR), Alsarori, Nawal A.² (AUTHOR) n_alsarori@yahoo.com

Source: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p12. 15p.

Subject Terms: *FINITE rings, *LOCAL rings (Algebra), *PRIME numbers, *ISOMORPHISM (Mathematics), *CLASSIFICATION

Pseudo-Ehoops.

Authors: Min Liu¹ 2381944941@qq.com, Hongxing Liu² lhxshanda@163.com

Source: IAENG International Journal of Applied Mathematics. Jan2025, Vol. 55 Issue 1, p90-103. 14p.

Subject Terms: *PRIME ideals, *ALGEBRA, *TOPOLOGY

Derivation of Tensor Algebra as a Fundamental Operation—The Fermi Derivative in a General Metric Affine Space.

Authors: Tsamparlis, Michael^1,2,3 (AUTHOR) mtsampa@phys.uoa.gr

Source: Symmetry (20738994). Jan2025, Vol. 17 Issue 1, p81. 20p.

Subject Terms: *TENSOR algebra, *DIFFERENTIAL geometry, *TENSOR fields, *POISSON brackets, *COSMOLOGICAL principle

Chained Hesitant Fuzzy R-Modules.

Authors: Munshid, Khaled Samiea¹ khaled.samiea@uos.edu.iq, Muttair, Haneen Hameed¹ haneen.hameed@uos.edu.iq, Majeed, Saba Salah² saba.s@coeng.uobaghdad.edu.iq

Source: International Journal of Mathematics & Computer Science. 2025, Vol. 20 Issue 1, p439-446. 8p.

Subject Terms: *COMMUTATIVE algebra, *RING theory, *FUZZY sets

Asymptotic behavior of the Kirchhoff index for square lattice with boundary conditions.

Authors: ECEVİT, Fatih¹, BOYSAL, Arzu¹ arzu.boysal@bogazici.edu.tr

Source: Turkish Journal of Mathematics. 2025, Vol. 49 Issue 1, p18-28. 11p.

Subject Terms: *MULTILINEAR algebra, *APPLIED mathematics, *MOLECULAR connectivity index, *MESH networks, *MATHEMATICS

ON A FRACTIONAL WAVE EQUATION WITH SINGULAR INITIAL DATA.

Authors: BENMERROUS, A.¹, benmerrous-94@hotmail.com, CHADLI, L. S.¹, chadli@fstbm.ac.ma, MOUJAHID, A.², moujahid.aziz.usms@gmail.com, ELOMARI, M.¹, m.elomari@usms.ma

Source: TWMS Journal of Applied & Engineering Mathematics; 2025, Vol. 15 Issue 1, p63-78, 16p