Up: TOME 46 (94), no. 1-2
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Abstract:
Further properties of rings whose simple left modules are either YJ-injective or projective are developed. Division rings are characterized. Fully left idempotent rings are characterized in terms of certain flat modules. A semi-prime P.I.-ring whose essential right ideals are idempotent is von Neumann regular. MELT rings whose simple left modules are either YJ-injective or projective must be left non-singular.
Key Words: von Neumann regular, flatness, p-injectivity, YJ-injecti-
vity,
fully left idempotent, P.I.-ring.
2000 Mathematics Subject Classification: Primary: 16D40,
Secondary: 16D50,16N60,16R20.
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