论文标题
奇异的理想和代数
The Singular Ideal and the Socle of Incidence Algebras
论文作者
论文摘要
让$ r $为具有身份的戒指，$ i（x，r）$是本地有限订购的部分代数，部分订购了$ x $。$ abo $ R。$ $在本文中，我们在$ r $和$ r $的Socle of Socle of Socle of Socle和$ r $中分别计算出$ x $的单数$ x $。
Let $R$ be a ring with identity and $I(X,R)$ be the incidence algebra of a locally finite partially ordered set $X$ over $R.$ In this paper, we compute the socle and the singular ideal of the incidence ring for some $X$ in terms of the socle of $R$ and the singular ideal of $R$, respectively.
