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Distinguishing local isomorphism classes in quasicrystals by high-order harmonic spectroscopy [PDF]
Nature CommunicationsElectron diffraction spectroscopy is a fundamental tool for investigating quasicrystal structures, which unveils the quasiperiodic long-range order. Nevertheless, it falls short in effectively distinguishing separate local isomorphism classes.
Jia-Qi Liu, Xue-Bin Bian
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Heliyon, 2023 Let T(X) be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of T(X) with connection sets L and R, the Green's equivalence classes of T(X) according to the Green's relations L and R, are investigated. Furthermore,
Yanisa Chaiya, Nuttawoot Nupo
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Category Theory and New Classes of Semi Bornological Group
Journal of Kufa for Mathematics and Computer, 2023 Because, the new knowledge put every new structure in category theory. So, became a source of interest for many researchers, to put every new structure in category theory. This motivates us to put the new structures of semibornological group in category.
Niran Sabah Jasim +3 more
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Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2020 We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
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Efficient Enumeration of Higher Order Algebraic Structures
IEEE Access, 2020 Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
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On groups with two isomorphism classes of central factors [PDF]
International Journal of Group Theory, 2018 The structure of groups which have at most two isomorphism classes of central factors ($B_2$-groups) are investigated. A complete description of $B_2$-groups is obtained in the locally finite case and in the nilpotent case.
Serena Siani
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On the Genus of the Idempotent Graph of a Finite Commutative Ring
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with identity. The idempotent graph of R is the simple undirected graph I(R) with vertex set, the set of all nontrivial idempotents of R and two distinct vertices x and y are adjacent if and only if xy = 0.
Belsi G. Gold, Kavitha S., Selvakumar K.
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Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
Épijournal de Géométrie Algébrique, 2018 We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
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Isomorphism of graph classes related to the circular-ones property [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Discrete ...
Andrew R. Curtis +6 more
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The classification of three-dimensional Lie algebras on complex field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study the classification of three-dimensional Lie algebras over a field of complex numbers up to isomorphism. The proposed classification is based on the consideration of objects invariant with respect to isomorphism, namely such ...
E.R. Shamardina
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