Results 21 to 30 of about 5,631 (197)
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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The cohomology of λ-rings and ψ-rings
, 2010 In this thesis we develop the cohomology of diagrams of algebras and then apply this to the cases of the λ-rings and the ψ-rings. A diagram of algebras is a functor from a small category to some category of algebras.
Michael Robinson (2123074)
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Algebraic and Diagonable Rings [PDF]
Canadian Journal of Mathematics, 1956 1. Introduction. In a well-known paper (7) Jacobson has shown how his structure theory for arbitrary rings can be applied to give more precise information about the so-called “algebraic” algebras. This specialization of his general theory is, however, perhaps not completely satisfying in that it deals only with algebras, i.e. rings admitting a field of
openaire +1 more source
Varieties of unary-determined distributive $\ell$-magmas and bunched implication algebras [PDF]
Logical Methods in Computer ScienceA distributive lattice-ordered magma ($d\ell$-magma) $(A,\wedge,\vee,\cdot)$ is a distributive lattice with a binary operation $\cdot$ that preserves joins in both arguments, and when $\cdot$ is associative then $(A,\vee,\cdot)$ is an idempotent semiring.
Natanael Alpay +2 more
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Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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Albert algebras over $\mathbb {Z}$ and other rings
Forum of Mathematics, Sigma, 2023 Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among commutative nonassociative algebras and also arise naturally in the context of simple affine group schemes of type $\mathsf {F}_4$ , $\mathsf {E}_6$
Skip Garibaldi +2 more
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On Segregated Rings and Algebras [PDF]
Nagoya Mathematical Journal, 1957 Segregated algebras have been nicely characterized by M. Ikeda [4]. In this paper §1, we consider segregated rings and study the structure of such rings in Theorems 1.1 and 1.2. In §2, we specialize to the case of segregated algebras of finite dimension over a field. Theorem 2.1 gives a new characterization of such algebras.
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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Generalizations of the primitive element theorem
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we generalize the primitive element theorem to the generation of separable algebras over fields and rings. We prove that any finitely generated separable algebra over an infinite field is generated by two elements and if the algebra is ...
Christos Nikolopoulos +1 more
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Generalized π-Baer *-rings [PDF]
Journal of Algebraic Systems, 2023 A *-ring $R$ is called a generalized $\pi$-Baer *-ring, if for any projection invariant left ideal $Y$ of $R$, the right annihilator of $Y^n$ is generated, as a right ideal, by a projection, for some positive integer $n$, depending on $Y$
Ali Shahidikia, Haimd Haj Seyyed Javadi
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