Results 11 to 20 of about 74,106 (122)
Relative Rota–Baxter groups and skew left braces [PDF]
Forum mathematicum, 2023 Relative Rota–Baxter groups are generalizations of Rota–Baxter groups and have been introduced recently in the context of Lie groups. In this paper, we explore connections of relative Rota–Baxter groups with skew left braces, which are well known to give
Nisha Rathee, Mahender Singh
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Studia Iuridica Toruniensia, 2023 Dnia 8 maja 2018 r. papież Franciszek swoim chirografem zdecydował o likwidacji Trybunału Apelacyjnego istniejącego przy Wikariacie Miasta. Sygnatura Apostolska, w przepisach wykonawczych, ustaliła datę 1 września 2019 r.
Sławomir Oder
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Extending Structures of Rota-Baxter Lie Algebras [PDF]
Journal of Lie theory, 2023 In this paper, we first introduce the notion of an extending datum of a Rota-Baxter Lie algebra through a vector space. We then construct a unified product for the Rota-Baxter Lie algebra with a vector space as a main ingredient in our approach. Finally,
Xiao-song Peng, Yi Zhang
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Kościół i Prawo, 2021 W procesie nullitatis matrimonii jednym z dowodów jest domniemanie (praesumptio). Obok domniemań prawnych (praesumpiones iuris) istnieją domniemania sędziowskie (praesumpiones hominis), wypracowane przez orzecznictwo Roty Rzymskiej.
W. Góralski
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Post-Hopf algebras, relative Rota--Baxter operators and solutions to the Yang--Baxter equation [PDF]
Journal of Noncommutative Geometry, 2022 In this paper, first we introduce the notion of a post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and there is naturally a post-Hopf algebra structure on the universal enveloping algebra of a post-Lie algebra.
Yun-Nan Li, Yunhe Sheng, Rong Tang
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Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms [PDF]
Linear Algebra and its Applications, 2022 A Rota-Baxter Lie algebra $\mathfrak{g}_T$ is a Lie algebra $\mathfrak{g}$ equipped with a Rota-Baxter operator $T : \mathfrak{g} \rightarrow \mathfrak{g}$.
A. Das, S. Hazra, S. K. Mishra
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Skew braces from Rota–Baxter operators: a cohomological characterisation and some examples [PDF]
Annali di Matematica Pura ed Applicata, 2022 Rota–Baxter operators for groups were recently introduced by Guo, Lang, and Sheng. Bardakov and Gubarev showed that with each Rota–Baxter operator, one can associate a skew brace.
Andrea Caranti, L. Stefanello
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Extensions and automorphisms of Rota-Baxter groups [PDF]
Journal of Algebra, 2022 The notion of Rota-Baxter groups was recently introduced by Guo, Lang and Sheng [{\em Adv. Math.} 387 (2021), 107834, 34 pp.] in the geometric study of Rota-Baxter Lie algebras. They are closely related to skew braces as observed by Bardakov and Gubarev.
A. Das, Nisha Rathee
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Rota–Baxter operators on Clifford semigroups and the Yang–Baxter equation [PDF]
Journal of Algebra, 2022 In this paper, we introduce the theory of Rota-Baxter operators on Clifford semigroups, useful tools for obtaining dual weak braces, i.e., triples $\left(S,+,\circ\right)$ where $\left(S,+\right)$ and $\left(S,\circ\right)$ are Clifford semigroups such ...
F. Catino +2 more
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American Journal of Cardiology, 2023 Debulking lesions with severe coronary artery calcification (CAC) is highly recommended to obtain good procedural and long-term success. Utilization and performance of coronary intravascular lithotripsy (IVL) after rotational atherectomy (RA) has not ...
G. Sardella +26 more
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