Results 1 to 10 of about 42,522 (193)
, 2008 Many things in mathematics seem lamost unreasonably nice. This includes objects, counterexamples, proofs. In this preprint I discuss many examples of this phenomenon with emphasis on the ring of polynomials in a countably infinite number of variables in ...
Hazewinkel, Michiel
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Strongly graded groupoids and strongly graded Steinberg algebras [PDF]
, 2018 We study strongly graded groupoids, which are topological groupoids $\mathcal G$ equipped with a continuous, surjective functor $\kappa: \mathcal G \to \Gamma$, to a discrete group $\Gamma$, such that $\kappa^{-1}(\gamma)\kappa^{-1}(\delta) = \kappa^{-1}(
Clark, Lisa Orloff +2 more
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Formal Groups and Hopf Algebras over Discrete Rings [PDF]
, 1974 A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Morris, R. A., Pareigis, Bodo
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Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras [PDF]
, 2016 We prove that ample groupoids with sigma-compact unit spaces are equivalent if and only if they are stably isomorphic in an appropriate sense, and relate this to Matui's notion of Kakutani equivalence.
Carlsen, Toke Meier +2 more
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Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J. Algebra 358 (2012) 162-177] [PDF]
, 2013 We give a purely combinatorial characterization of complete Stanley-Reisner rings having principally generated (equivalently, finitely generated) Cartier algebras.Comment: The main result restated in a cleaner way. 5 pages, 2 figures.
Montaner, Josep Alvarez, Yanagawa, Kohji
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Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]
, 2012 Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher +12 more
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Baer and Baer *-ring characterizations of Leavitt path algebras
, 2017 We characterize Leavitt path algebras which are Rickart, Baer, and Baer $*$-rings in terms of the properties of the underlying graph. In order to treat non-unital Leavitt path algebras as well, we generalize these annihilator-related properties to ...
Hazrat, Roozbeh, Vas, Lia
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Enveloping algebras that are principal ideal rings
, 2017 Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finite-dimensional torus by a cyclic restricted Lie ...
Siciliano, Salvatore, Usefi, Hamid
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Rings That Are Morita Equivalent to Their Opposites
, 2015 We consider the following problem: Under what assumptions do one or more of the following are equivalent for a ring $R$: (A) $R$ is Morita equivalent to a ring with involution, (B) $R$ is Morita equivalent to a ring with an anti-automorphism, (C) $R$ is ...
First, Uriya A.
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Збірник наукових праць фізико-математичного факультету ДДПУ, 2021 У статтi розглядається частково впорядкованi множини та їх зв’язок з булевими алгебрами та кiльцями. Представлено ряд тверджень, якi доцiльно вивчати при знайомствi з алгебраїчними структурами студентам фiзико-математичного факультету спецiальностi 014 Середня освiта (Iнформатика) в курсi дискретної математики.
openaire +1 more source