Priifer domains with class group generated by the classes of the invertible maximal ideals |
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| Authors: | Marco Fontana Stefania Gabelli |
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| Institution: | 1. Dipartimento di Matematica , Universita degli Studi , Roma, 00146, Italy;2. Dipartimento di Matematica , Universita di Roma , Roma, 00185, Italy |
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| Abstract: | In 2] and 3] we described the double coset decomposition for the modular group SLr+s (Z) with respect to the congruence subgroup Р r,s (m) for any positive integer m. In the present paper we obtain the double coset decomposition of SLr+s (R) with respect to Р r,s (I). Where R is a commutative ring with unioty 1, and I is a nonzero ideal in R such that R/I is the direct sum of local principal ideal rings; thus generalize the results obtained in 2] and 3]. |
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