EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 46(60), pp. 20--24 (1989)

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On the quotient $(\Omega,m)$-ringoids

Sin-Min Lee

Deptartment of Mathematics and Computer Science, San Jose State University, San Jose, California 95192, U.S.A.

Abstract: Universal algebras considered in this paper are generalizations of rings, distributive lattices, semirings and composite rings. We consider the quotient ring construction of $(\Omega,m)$-ringoid and extend a result of Crombez and Timm about $(n,m)$-rings.

Keywords: ringoid, $m$-semigroups, congruence, integral domain, simple, lattices and composite ring.

Classification (MSC2000): 08A05

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