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Rings with countably many direct summands |
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| Authors: | Gary F Birkenmeier Jin Yong Kim Jae Keol Park |
| Institution: | 1. Department of Mathematics , University of Southwestern Louisiana , Lafayette, LA, 70504-1010, USA E-mail: gfb1127@usl.edu;2. Department of Mathematics , Kyung Hee University , Suwon, 449-701, South Korea E-mail: jykim@nms. kyunghee. ac.kr;3. Department of Mathematics , Busan National University , Busan, 609-735, South Korea E-mail: jkpark@hyowon.cc.pusan. ac.kr |
| Abstract: | We consider commutative monoid amalgams having as their cores a conical cancellative monoid. In this context we present sufficient conditions for the amalgam to be strongly embeddable and for some properties of the factors to be transmitted to the amalgamated free product. |
| Keywords: | Monoid amalgams Amalgamated free products Monoids of projectives |