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Sridharan, R.
- On Some Algebras of Infinite Cohomological Dimension
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1 Tata Institute of Fundamental Research, Bombay, IN
1 Tata Institute of Fundamental Research, Bombay, IN
Source
The Journal of the Indian Mathematical Society, Vol 21, No 3-4 (1957), Pagination: 179-183Abstract
If A is a nilpotent algebra of finite rank over afield K, the cohomological dimension of A is greater than or equal to 3.
We prove here that the dimension is actually infinite. As a consequence, we deduce that the cohomological dimension of the Grassmann ring on n-letters over a commutative semi-simple ring is infinite. This provides, incidentally, counter-examples to certain questions in Homological Algebra.
- A Note on the Dimension of Modules and Algebras
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1 Tata Institute of Fundamental Research, Bombay, IN
1 Tata Institute of Fundamental Research, Bombay, IN
Source
The Journal of the Indian Mathematical Society, Vol 21, No 3-4 (1957), Pagination: 185-192Abstract
In the three first propositions of this note we give sufficient conditions under which the relative left global dimension of a pair (Λ, T), where Λ is a ring and T a subring, is 0 or ∞.- Involutions on Rank 16 Central Simple Algebras
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Authors
Affiliations
1 Mathematik, ETH-Zentrum, Ramistrasse 74, CH-8092, Zurich, CH
2 School of Mathematics, Tata Institute of Fundamental Research, Bombay-400005, IN
1 Mathematik, ETH-Zentrum, Ramistrasse 74, CH-8092, Zurich, CH
2 School of Mathematics, Tata Institute of Fundamental Research, Bombay-400005, IN