In this paper, we introduce the concept of weakly primary ideals over non-commutative rings. Several results on weakly primary ideals over non-commutative rings are proved. We prove that a right (resp. left) weakly primary ideal P of a ring R that is not right (resp. left) primary satisfies P 2 = 0. We give useful characterization of weakly primary ideals over non-commutative rings with nonzero identities. We prove that every irreducible ideal of a right (resp. left) Noetherian ring R is right (resp. left) weakly primary ideal in R.Mathematics Subject Classification: Primary 16D25, Secondary 16D80, 16N60
Tabulation of the Function iK») = ¿^^ñ =l n Introduction. The function
(0)-(x), rather than our d>(x) defined by (1). As in most literature he defines it as minus the integral from 0 to x. We shall however stick to the definition (1), which has already appeared in some of the literature [1]. The integrals appearing in the above mentioned problems cannot always be expressed in terms of (x) with the argument x real. In many cases there appear (x) with a complex x of absolute value 1. This happens when the integrals in question are expressed as combinations of 0 I-) and
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