The Journal of the Indian Mathematical Society

Krishna Tiwari ¹

Affiliations
1 I.I.T., Kanpur, IN

Abstract

Universal complexes were first constructed by Kahler [4] in 1953. In this paper a proof for the existence of a universal complex over an algebra is given using Bourbaki's approach [1] to the universal mapping problem.

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Krishna Tiwari ¹

Affiliations
1 I.I.T.,Kanpur, IN

Abstract

Let R be a commutative ring with unit and A be a unitary R-algebra. The purpose of this paper is to study the relation between the derivation modules of A and complexes over A.

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Krishna Tiwari ¹

Affiliations
1 I.I. T., Kanpur (U. P.), IN

Abstract

The purpose of this paper is to prove that if R is a commutative ring in which every non-zero ideal contains a non-zero idempotent then the complete ring of quotients Q(R) of R is an injective R-module. Moreover, Q(R) is an absolutely flat ring.

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