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Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]
Res Number TheoryFong HL.
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Correlations Between Carbon Structure and Properties by XRD and Raman Structural Studies During Coke Formation in Various Rank Coals. [PDF]
Materials (Basel)Tian L, Dou J, Chen X, Yu J.
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Spherical Trihedral Metallo-Borospherene with Asymmetric Triangles in Boron Framework. [PDF]
Nanomaterials (Basel)Xie Q, Wang W, Liu Q, Li S, Yan L.
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Structural Design and Mechanical Properties of Metal Vascular Stents Fabricated via Laser Powder Bed Fusion. [PDF]
ACS OmegaMiao J, Huang S, Chen Z, Wang Q, Li H.
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Canadian Mathematical Bulletin, 1973
This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
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This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
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Regular Rings are Very Regular
Canadian Mathematical Bulletin, 1982The following problem arose in a conversation with Abraham Zaks: “Suppose R is an associative ring with identity such that every finitely generated left ideal is generated by idempotents. Is R von-Neumann regular?” In the literature the “s” in “idempotents” is missing, and is replaced by “an idempotent”. The answer is, “Yes!”
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Canadian Journal of Mathematics, 1965
1.1. Throughout this note, will denote an associative ring but we shall not require to possess a unit.If A and B are subsets of , then A + B will denote the set {x + y| x ∊ A, y ∊ B}. Aτ will denote the set {u ∊ | au = 0 for all a ∊ A} .Elements a and b will be said to be orthogonal if ab = ba = 0.
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1.1. Throughout this note, will denote an associative ring but we shall not require to possess a unit.If A and B are subsets of , then A + B will denote the set {x + y| x ∊ A, y ∊ B}. Aτ will denote the set {u ∊ | au = 0 for all a ∊ A} .Elements a and b will be said to be orthogonal if ab = ba = 0.
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