1 The affine superscheme

    Abstract

    Let A = A¯ 0 ⊕ A¯ 1 be a superring. The commutative ring A/(A¯ 1) is denoted ¯ A and is called the body of A. We know there is an inclusion preserving one-to-one correspondence between the prime ideals in A and the prime ideals in ¯ A. Now consider A¯ 0 as a commutative ring. It has an ideal A 2 ¯ 1 , which is contained in all prime ideals. Furthermore, we… (More)

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