Abstract
AbstractEvery Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the arithmetic of Krull monoids. In the present paper, we strengthen and refine this tool for Krull monoids with finitely generated class group.
Publisher
Springer Science and Business Media LLC
Reference38 articles.
1. Anderson, D.D., Anderson, D.F., Zafrullah, M.: Atomic domains in which almost all atoms are prime. Commun. Algebra 20, 1447–1462 (1992)
2. Anderson, D.D., Mott, J., Zafrullah, M.: Finite character representations for integral domains. Boll. Union Mat. Ital. 6, 613–630 (1992)
3. Bachman, D., Baeth, N., Gossell, J.: Factorizations of Upper Triangular Matrices. Linear Algebra Appl. 450, 138–157 (2014)
4. Baeth, N.R., Geroldinger, A.: Monoids of modules and arithmetic of direct-sum decompositions. Pacific J. Math. 271, 257–319 (2014)
5. Baeth, N.R., Smertnig,D.: Lattices over Bass rings and graph agglomerations. Algebras Represent. Theory (to appear). https://doi.org/10.1007/s10468-021-10040-2
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