目的研究一类重要的幂等元半环，即乘法带半环。
Aim To study a very important class of idempotent semiring, so-called multiplicative band semirings.
幂等元与本原幂等元在环中有非常重要的地位与作用。
Idempotents and primitive idempotents have very important station in the ring.
如果它是有限和非空的，则它必须包含至少一个幂等元。
If it is finite and nonempty, then it must contain at least one idempotent.
如果它是有限和非空的，则它必须包含至少一个幂等元。
If it is finite and nonempty, then it must contain at least one idempotent.
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