Titlebook: Regularity and Substructures of Hom; Friedrich Kasch,Adolf Mader Book 2009 Birkh?user Basel 2009 Abelian group.algebra.domain decompositio

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Reg(,) and Other Substructures of Hom,We turn to connections between Reg(.) and other substructures of . := Hom.(.).

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Friedrich Kasch,Adolf MaderReadable text with new concepts opening new avenues for research.Old and numerous new results in self-contained form.Results never published in book form.Extension of the well-known and important conc

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1660-8046 in book form.Extension of the well-known and important concRegular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8,

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Book 2009decomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodea

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Regularity in Homomorphism Groups of Abelian Groups,oups that have regular endomorphism rings. Cognizant of the existence of the largest regular ideal Reg(.) in the endomorphism ring of the group ., their results have been generalized in [24] to computing Reg(.) . Reg(End(.)). Here we study Hom(.) as an End(.)-End(.)-bimodule in view of regularity. I

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