Hopfian
http://mail.maths.usyd.edu.au/s/scnitm/anthonyh-AlgebraSeminar-JonathanHi Web5 jul. 2007 · The Hopfian (resp., co-Hopfian) concept is an extension of the Noetherian (resp., Artinian) concept. These modules have been investigated by many authors, e.g., …
Hopfian
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WebNon-Hopf group. non-Hopfian group. A group that has an endomorphism onto itself with a non-trivial kernel, that is, a group that is isomorphic to a proper quotient group of itself. (Otherwise the group is called a Hopfian group, cf. Hopf group .) The term stems from Hopf's problem (1932) whether there are such groups that are finitely generated. Web24 jan. 2024 · co-Hopfian Modules. F. C. Leary. If is a ring with 1, we call a unital left -module co-Hopfian (Hopfian) in the category of left -modules if any monic (epic) endomorphism of is an automorphism. For commutative Noetherian we use results of Matlis to show that in a certain context every submodule of a co-Hopfian injective module is co …
Web9 apr. 2009 · Hyperbolic Groups are Hyperhopfian. Part of: Fiber spaces and bundles Structure and classification of infinite or finite groups. Published online by Cambridge … WebOptions Afficher toutes les métadonnées (vue technique) Kaiser, Tom. Nom
Web2 dec. 2024 · Hopfian and co-Hopfian modules over Artinian rings. An -module is Hopfian (co-Hopfian) if any epic (monic) endomorphism of is an automorphism. If is commutative … WebOn co-Hopfian nilpotent groups: Algorithmic Properties of Relatively Hyperbolic Groups: From Monomials to Words to graphs: Hyperbolic group C -algebras and free-product C -algebras as compact quantum metric spaces: The essential ideal in group cohomology does not square to zero: On the cohomology of the holomorph of a finite cyclic group
In mathematics, a Hopfian group is a group G for which every epimorphism G → G is an isomorphism. Equivalently, a group is Hopfian if and only if it is not isomorphic to any of its proper quotients. A group G is co-Hopfian if every monomorphism G → G is an isomorphism. Equivalently, G is not isomorphic to any … Meer weergeven • Every finite group, by an elementary counting argument. • More generally, every polycyclic-by-finite group. • Any finitely generated free group. Meer weergeven • Hopfian group at PlanetMath. • Non-Hopf group in the Encyclopedia of Mathematics Meer weergeven • Quasicyclic groups. • The group R of real numbers. • The Baumslag–Solitar group B(2,3). Meer weergeven It was shown by Collins (1969) that it is an undecidable problem to determine, given a finite presentation of a group, whether the group is Hopfian. Unlike the undecidability of many properties of groups this is not a consequence of the Adian–Rabin theorem, because … Meer weergeven
WebFind many great new & used options and get the best deals for General Lattice Theory: Second Edition by G. Gratzer (English) Paperback Book at the best online prices at eBay! Free shipping for many products! is the hp pavilion pc good for gamingWeb↑ Charles F. Miller, and Paul Schupp, Embeddings into Hopfian groups. Journal of Algebra 17 (1971), pp. 171–176 ; ↑ Martin Bridson, Daniel Groves, Jonathan Hillman, Gaven Martin, Cofinitely Hopfian groups, open mappings and knot complements. Groups, Geometry, and Dynamics 4 (2010), no. 4, pp. 693–707 is the hp omen 17 2016 touchscreenWeb12 jul. 2012 · The notions of Hopfian and co-Hopfian groups have been of interest for some time. In this present work we characterize the more restricted classes of hereditarily … is the hp product status a virusWeb15 apr. 2024 · The adjective commensurably is justified by the fact that being commensurably co-Hopfian is an abstract commensurability invariant, which follows … i have 2 shares of sperry corporation stockWebBefore going to examples, here are some general comments: a) Proving that a finitely generated group is Hopfian is usually pretty hard unless the group is residually finite e.g. finitely generated subgroups of G L ( n, R) are residually finite, hence Hopfian by an old result of Mal'cev. b) A common method in proving that a group G is co-Hopfian ... is the hp pavilion good for gamingWebA group is called co-Hopfian if it contains no proper subgroup isomorphic to itself. Being co-Hopfian can be interpreted as a rigidity property. Many geometrically interesting groups are co-Hopfian, including some Kleinian groups [8], some 3-manifold groups (see [19] and references therein). Any freely indecomposable torsion free word-hyperbolic group, other … i have 2 powerball numbersWeb17 apr. 2009 · (i) Any finitely generated group can be expressed as a quotient of a finitely presented, centreless group which is simultaneously Hopfian and co-Hopfian. (ii) There … is the h pronounced in latin