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More conservative lesbian newsletters at the time such as Lesbian Tide and The Ladder rejected the notions of the manifesto and saw it too radical. Other lesbians rejected the woman-identified label expressing their discomfort in it blurring lines of heterosexual and homosexual women and, despite the stigma surrounding the name, instead opted ...
In mathematics, more specifically ring theory, a left, right or two-sided ideal of a ring is said to be a nil ideal if each of its elements is nilpotent. [1] [2]The nilradical of a commutative ring is an example of a nil ideal; in fact, it is the ideal of the ring maximal with respect to the property of being nil.
A ring R is called a Jacobson ring if the nilradical and Jacobson radical of R/P coincide for all prime ideals P of R. An Artinian ring is Jacobson, and its nilradical is the maximal nilpotent ideal of the ring. In general, if the nilradical is finitely generated (e.g., the ring is Noetherian), then it is nilpotent.
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If R is commutative, the Jacobson radical always contains the nilradical. If the ring R is a finitely generated Z-algebra, then the nilradical is equal to the Jacobson radical, and more generally: the radical of any ideal I will always be equal to the intersection of all the maximal ideals of R that contain I. This says that R is a Jacobson ring.
The nilpotent elements of a commutative ring R form an ideal of R, called the nilradical of R; therefore a commutative ring is reduced if and only if its nilradical is zero. Moreover, a commutative ring is reduced if and only if the only element contained in all prime ideals is zero. A quotient ring R/I is reduced if and only if I is a radical ...
Combahee member Barbara Smith's definition of feminism that still remains a model today states that, "feminism is the political theory and practice to free all women: women of color, working-class women, poor women, physically challenged women, lesbians, old women, as well as white economically privileged heterosexual women. Anything less than ...
Here's the history and meaning behind Women's history month colors: purple, green, white and gold. Experts explain the fascinating origins.