On the torsion graph and von Neumann regular rings
نویسندگان
چکیده
منابع مشابه
Combining Local and Von Neumann Regular Rings
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if a or 1 a has a Von Neumann inverse whenever a 2 R. Sample results: Every prime ideal of a VNL-ring is contained in a unique maximal ideal. Local and Von Neumann regular rings are VNL and if the product of two rings is VNL, then both are Von Neumann regular, or one is Von Neumann regular and the ...
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All rings considered are associative with identity and all occurring modules are unital right modules. We denote by Mod R the category of all R-modules. The spectrum of a ring R is known to be the “set” of isomorphism classes of indecomposable injective right R-modules. When R is right-Noetherian the spectrum describes all injective Rmodules, since each injective module is a direct sum of indec...
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ژورنال
عنوان ژورنال: Filomat
سال: 2012
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1202253r