Gelfand ring
id:
gelfand-ring-284-2404961
title:
Gelfand ring
text:
In mathematics, a Gelfand ring is a ring R with identity such that if I and J are distinct right ideals then there are elements i and j such that i R j = 0, i is not in I, and j is not in J. Mulvey (1979) introduced them as rings for which one could prove a generalization of Gelfand duality, and named them after Israel Gelfand. In the commutative case, Gelfand rings can also be characterized as the rings such that, for every a and b summing to 1, there exists r and s such that Moreover, their pr
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wiki
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https://en.wikipedia.org/wiki/Gelfand_ring
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date modified:
2024-03-02T18:31:57Z
main entity:
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