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- Kasch_ring abstract "In ring theory, a subfield of abstract algebra, a right Kasch ring is a ring R for which every simple right R module is isomorphic to a right ideal of R. Analogously the notion of a left Kasch ring is defined, and the two notions are independent of each other.Kasch rings are named in honor of mathematician Friedrich Kasch. Kasch originally called Artinian rings whose proper ideals have nonzero annihilators S-rings. (Kasch 1954)(Morita 1966) The characterizations below show that Kasch rings generalize S-rings.".
- Kasch_ring wikiPageID "34212423".
- Kasch_ring wikiPageLength "5090".
- Kasch_ring wikiPageOutDegree "30".
- Kasch_ring wikiPageRevisionID "608106380".
- Kasch_ring wikiPageWikiLink Abstract_algebra.
- Kasch_ring wikiPageWikiLink Annihilator_(ring_theory).
- Kasch_ring wikiPageWikiLink Artinian_ring.
- Kasch_ring wikiPageWikiLink Category:Algebraic_structures.
- Kasch_ring wikiPageWikiLink Category:Ring_theory.
- Kasch_ring wikiPageWikiLink Dense_submodule.
- Kasch_ring wikiPageWikiLink Direct_product.
- Kasch_ring wikiPageWikiLink Direct_sum.
- Kasch_ring wikiPageWikiLink Division_ring.
- Kasch_ring wikiPageWikiLink Domain_(ring_theory).
- Kasch_ring wikiPageWikiLink Friedrich_Kasch.
- Kasch_ring wikiPageWikiLink Homomorphism.
- Kasch_ring wikiPageWikiLink Hopkins–Levitzki_theorem.
- Kasch_ring wikiPageWikiLink Ideal_(ring_theory).
- Kasch_ring wikiPageWikiLink Jacobson_radical.
- Kasch_ring wikiPageWikiLink Local_ring.
- Kasch_ring wikiPageWikiLink Maximal_ideal.
- Kasch_ring wikiPageWikiLink Minimal_ideal.
- Kasch_ring wikiPageWikiLink Module_(mathematics).
- Kasch_ring wikiPageWikiLink Power_series.
- Kasch_ring wikiPageWikiLink Quotient_ring.
- Kasch_ring wikiPageWikiLink Ring_theory.
- Kasch_ring wikiPageWikiLink Simple_module.
- Kasch_ring wikiPageWikiLink Simple_ring.
- Kasch_ring wikiPageWikiLink Socle_(mathematics).
- Kasch_ring wikiPageWikiLink Springer_Science+Business_Media.
- Kasch_ring wikiPageWikiLink Triangular_matrix_ring.
- Kasch_ring wikiPageWikiLinkText "Kasch ring".
- Kasch_ring wikiPageUsesTemplate Template:Citation.
- Kasch_ring wikiPageUsesTemplate Template:Harv.
- Kasch_ring wikiPageUsesTemplate Template:Reflist.
- Kasch_ring subject Category:Algebraic_structures.
- Kasch_ring subject Category:Ring_theory.
- Kasch_ring hypernym R.
- Kasch_ring comment "In ring theory, a subfield of abstract algebra, a right Kasch ring is a ring R for which every simple right R module is isomorphic to a right ideal of R. Analogously the notion of a left Kasch ring is defined, and the two notions are independent of each other.Kasch rings are named in honor of mathematician Friedrich Kasch. Kasch originally called Artinian rings whose proper ideals have nonzero annihilators S-rings.".
- Kasch_ring label "Kasch ring".
- Kasch_ring sameAs Q6374084.
- Kasch_ring sameAs カシュ環.
- Kasch_ring sameAs m.0j27dq7.
- Kasch_ring sameAs Q6374084.
- Kasch_ring wasDerivedFrom Kasch_ring?oldid=608106380.
- Kasch_ring isPrimaryTopicOf Kasch_ring.