In this paper, we study semiconic idempotent commutative residuated lattices. An algebra of this kind is a semiconic generalized Sugihara monoid if it is generated by the lower bounds of the monoid identity. We establish a category equivalence between semiconic generalized Sugihara monoids and Brouwerian algebras with a strong nucleus. As an application, we show that central semiconic generalized Sugihara monoids are strongly amalgamable.

中文翻译：

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关于半圆锥幂等交换余格

在本文中，我们研究了半圆锥幂等交换余格。如果这种代数是由单等分恒等式的下界生成的，则它是半圆锥广义Sugihara单等分。我们建立了半圆锥广义Sugihara单面体和具有强核的Brouwerian代数之间的类别等效性。作为一个应用程序，我们证明了中央半圆锥广义杉原类id虫极易融合。