Let R be a ring without identity. Embed Rina ring S with identity which has characteristic zero.

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Let R be a ring without identity. Embed Rina ring S with identity which has characteristic zero. Prove that J(R) = J(S). Consequently every semi simple ring may be embedded in a semi simple ring with identity.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 03, 2023 08:14 AM

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Let R be a ring without identity. Embed Rina ring S with identity which has characteristic zero.

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To embed a ring R without identity into a ring S with identity and characteristic zero we can consider the ring of formal power series Let F be the ri...View the full answer

Algebra Graduate Texts In Mathematics 73

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