The t#-property for integral domains |
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| Authors: | Stefania Gabelli Evan Houston Thomas G Lucas |
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| Institution: | a Dipartimento Di Matematica, Università Degli Studi Roma Tre, Largo San L. Murialdo, 1, 00146 Roma, Italy
b Department of Mathematics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA |
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| Abstract: | Generalizing work of Gilmer and Heinzer, we define a t#-domain to be a domain R in which  for any two distinct subsets  and  of the set of maximal t-ideals of R. We provide characterizations of these domains, and we show that polynomial rings over t#-domains are again t#-domains. Finally, we study overrings of t#-domains. |
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| Keywords: | Primary: 13A15 13F05 secondary: 13F20 |
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