The paper considers semirings of skew polynomials and semirings of skew Laurent polynomials with rigid endomorphism. It is shown that the semiring S is Φ-rigid if and only if the semiring of skew Laurent polynomials S[x ?1 , x, Φ] is a semiring without nilpotent elements. The concept of the Φ-arm-semiring is introduced. It is proved that if S is a Φ-arm-semiring, then S is Baer (left Rickart) exactly when S[x ?1 , x, Φ] is a Baer (resp. left Rickart) semiring.
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机译：本文考虑了具有刚性基因术的偏斜多项式和偏斜的多项式的偏振多项式和偏振。结果表明，只有在偏斜的Laurent多项式S [x x 1，x，φ]的血丝才是没有幂肌元素的微生物，才是φ-刚性的φ-刚性。介绍了φ-arm-Semiring的概念。事实证明，如果s是φ-arm-semiring，则S是轰炸机（左rickart），当s [x x x x x x，x，φ]是baer（resp.ledrickart）semiring时。
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