Within her role as a Russian speaker and member of a SWP, Dunayevskaya was asked to join the staff of Leon Trotsky in Mexico City, from which assignment she returned to the United states around 1939. Inside 1940 she took part in the split in the SWP that led to the formation of the Workers Party (WP) headed by Max Shachtman. Inside a WP, she formed a Johnson-Forrest Tendency alongside C. L. R. James (she being "Freddie Forrest" and he "J.R. Johnson", known as for their person cadre list). A tendency argued that a Soviet Union was state capitalist, while a WP majority maintained that it was bureaucratic collectivist.

Differences inside a WP steadily widened, & inside 1947 after a brief period of independent being in the period of which it published a series of documents, the tendency returned to the ranks of the SWP. Their memebership of the SWP was according to a divided insistence that there was the pre-todays situation upright around the corner, & the divided up belief this intended that a Leninist party must be in situ to require benefit of the coming chance.

By 1951, with a failure of their divided perspective to materialise, a tendency evolved a theory that rejected traditional Leninism & saw the workers when existence spontaneously revolutionary. This was corroborate for the two per 1949 miners' strike. Around afterwards years it were to pay close attention to automatisation, especially in the automobile industry, which they come to look at when paradigmatic of the newly stage of capitalism. This led to a tendency allowing the SWP to run independent operate.

Writings
Books Philosophy & revolution, Just released York, 1973 ''Rosa Luxemburg, Women's Liberation, & Marx's philosophy of revolution, Atlantic Highlands, North.J. : Humanities P. ; Brighton : Harvester P., 1982 Marxism & freedom : from either 1776 until in todays world, Brighton : Harvester P., 1982 Women's liberation & the dialectics of revolution : reaching for the first : a 35-season collection of essays--historic, philosophical, spherical, Atlantic Highlands, NJ : Humanities Click, 1985 A power of negativity : selected writings on the dialectic inside Hegel & Marx, edited by Peter Hudis & Kevin B. Anderson, Lanham, Md. : Lexington Books, 2002

Introductions

Frantz Fanon, Soweto & American Black Thought'' by Lou Turner and John Alan ; new introd. by Raya Dunayevskaya. - recently expanded edition, Chicago : News & Letters, 1986