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Triple Covers in Algebraic Geometry
American Journal of Mathematics, 1985The aim of the paper under review is to develop a theory of triple covers in algebraic geometry. One of the most important general result obtained says that a triple cover \(X\to Y\) (with X and Y irreducible varieties over an algebraically closed field) is determined by a rank-two vector bundle E and a map \(S^ 3E\to \bigwedge^ 2E\), and conversely ...
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Communications in Algebra, 1996
In dealing with the central extensions of a finite group G one finds that although covers need not be isomorphic, for each such H there exists a cover for which H is a. homomorphic image [1]. For finite dimensional Lie algebras, covers are isomorphic. We shall show that the second property also holds for Lie algebras.
Peggy Batten, Ernest Stitzinger
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In dealing with the central extensions of a finite group G one finds that although covers need not be isomorphic, for each such H there exists a cover for which H is a. homomorphic image [1]. For finite dimensional Lie algebras, covers are isomorphic. We shall show that the second property also holds for Lie algebras.
Peggy Batten, Ernest Stitzinger
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Effect Algebras Which Can Be Covered by MV-Algebras
International Journal of Theoretical Physics, 2002Effect algebras are partial abelian monoids with a sort of negation operation: they yield a generalization of various kinds of structures currently used in the algebraic treatment of operator algebras, including Chang's MV algebras. The main result of this paper gives added evidence to the intuition that MV algebras stand to effect algebras as Boolean ...
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2004
Let p be a prime number and let G be a finite group. The subgroup p(G) ⊂ G is defined as the group generated by all elements in G having as order a power of p. Equivalent definitions of p(G) are: (i) p(G) is the smallest normal subgroup such that the factor group G/p(G) has no elements with order p.
Jean Fresnel, Marius van der Put
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Let p be a prime number and let G be a finite group. The subgroup p(G) ⊂ G is defined as the group generated by all elements in G having as order a power of p. Equivalent definitions of p(G) are: (i) p(G) is the smallest normal subgroup such that the factor group G/p(G) has no elements with order p.
Jean Fresnel, Marius van der Put
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Koszul algebras and finite Galois coverings
Science in China Series A: Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Deke, Han, Yang
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Irredundant Coverings, Tolerances, and Related Algebras
2018This chapter deals with rough approximations defined by tolerance relations that represent similarities between the elements of a given universe of discourse. We consider especially tolerances induced by irredundant coverings of the universe U. This is natural in view of Pawlak’s original theory of rough sets defined by equivalence relations: any ...
Järvinen J., Radeleczki, S.
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Proceedings of the 1998 international symposium on Symbolic and algebraic computation, 1998
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Regularity, Rees algebra, and Betti numbers of certain cover ideals
Archiv Der Mathematik, 2020exaly