Vol. 52, No. 2, 1974

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Maximal ideals in the near ring of polynomials modulo 2

J. L. Brenner

Vol. 52 (1974), No. 2, 595–600
Abstract

A near ring (or semiring) is a structure with addition and composition. Under addition, the structure is a commutative group. Composition is associative and distributive on one side: (p + q) r = pr + q r. An example is the set of polynomials with coefficients from the ring of integers [or indeed from any ring]; composition is ordinary composition of polynomials. Another example is the set of endomorphisms of an abelian group.

Mathematical Subject Classification
Primary: 16A76
Milestones
Received: 2 October 1972
Revised: 4 November 1972
Published: 1 June 1974
Authors
J. L. Brenner