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Pacific Journal of MathematicsA SYSTEM OF CANONICAL FORMS FOR RINGS ON A DIRECT SUM OF TWO INFINITE CYCLIC GROUPS B URNETT ROLAND T OSKEYVol. 20, No. 1September 1967PACIFIC JOURNAL OF MATHEMATICS Vol. 20, No. 1, 1967A SYSTEM OF CANONICAL FORMS FOR RINGS ON A DIRECT SUM OF TWO INFINITE CYCLIC GROUPS BURNETT R. TOSKEYIn this paper we canonically represent the isomorphism classes of all rings whose additive group is a direct sum of two infinite cyclic groups by a system of 4 by 2 matrices whose...

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