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The notion of n-ary semimodules is introduced so that the Jacobson radical of an (m,n)-semiring is studied and some well-known results concerning the Jacobson radical of a ring (a semiring or a ternary semiring) are generalized to an (m,n)-semiring

algerba/algebra

On the Jacobson Radical of an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Semiring

On the Jacobson Radical of an (m,n)-Semiring