부산대학교 도서관

Let R be a ring, (S,≤) a strictly ordered monoid and Λ = R[[S,w]] the skew generalized power series ring. In this paper, we investigate the transfer of some ring properties on skew generalized power series rings such as central Armendariz, left fusible, right IN and right SA-rings. In particular we study the conditions under which: (i) R is central(S,w)-Armendariz if R/I is central (S,w)-Armendariz; (ii) V is a left fusible ring; (iii) R is a right IN-ring if V is a right IN-ring; (iv) R is a right SA-ring if V is a right SA-ring. [ABSTRACT FROM AUTHOR]