Menal, Pere On pi-regular rings whose primitive factor rings are Artinian. (English) Zbl 0457.16006 J. Pure Appl. Algebra 20, 71-78 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 28 Documents MSC: 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) 16U99 Conditions on elements 16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras 16Kxx Division rings and semisimple Artin rings 16P20 Artinian rings and modules (associative rings and algebras) 16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) Keywords:strongly pi-regular primitive factor ring; orthogonal idempotents; indecomposable semi-simple factor ring; matrix units; stable range PDFBibTeX XMLCite \textit{P. Menal}, J. Pure Appl. Algebra 20, 71--78 (1981; Zbl 0457.16006) Full Text: DOI References: [1] Armendariz, E. P.; Fisher, J. W.; Snider, R. L., On injective and surjective endomorphisms of finitely generated modules, Comm. Algebra, 6, 7, 659-672 (1978) · Zbl 0383.16014 [2] Azumaya, G., Strongly π-regular rings, J. Fac. Sci. Hokkaido Univ., 13, 34-39 (1954) · Zbl 0058.02503 [3] Burgess, W. D.; Stephenson, W., An analogue of the Pierce sheaf for non-commutative rings, Comm. Algebra, 6, 9, 863-886 (1978) · Zbl 0374.16017 [4] W.D. Burgess and W. Stephenson, Mi; W.D. Burgess and W. Stephenson, Mi [5] Dischinger, F., Sur les anneaux fortement π-réguliers, C.R. Acad. Sci. Paris, 283 A, 571-573 (1976) · Zbl 0338.16001 [6] Goodearl, K. R., Von Neumann regular rings (1979), Pitman: Pitman London, San Francisco, Melbourne · Zbl 0411.16007 [7] Hirano, Y., Some studies on strongly π-regular rings, Math. J. Okayama Univ., 20, 2, 141-149 (1978) · Zbl 0394.16011 [8] Jacobson, N., Structure of rings (1964), Amer. Math. Coll. Pub. 37: Amer. Math. Coll. Pub. 37 Providence, RI This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.