Return to Algebra II: The Effect of Mandatory Math Coursework on Postsecondary Attainment

2018 ◽  
Author(s):  
Soobin Kim
2021 ◽  
Vol 7 ◽  
pp. 237802312110211
Author(s):  
Anna Zajacova ◽  
Elizabeth Lawrence

Population-health research has neglected differentiation within postsecondary educational attainments. This gap is critical to understanding health inequality because college experience with no degree, vocational/technical certificates, and associate degrees may affect health differently. We examine health across detailed postsecondary attainment levels. We analyze data on 14,750 respondents in Waves I and IV of the nationally representative Add Health panel spanning adolescence to ages 26 to 34. Multivariate regression and counterfactual approaches to minimize the impact of confounders estimate multiple health outcomes across postsecondary attainment levels. Compared to high school diplomas, we find significant returns to bachelor’s degrees for most health outcomes and smaller but largely significant returns to associate degrees. In contrast, adults with some college but no degree or with vocational/technical certificates do not have better physical health than high school graduates. Our findings highlight the stark differentiation within higher education as reflected by the disparate health outcomes in early adulthood.


1979 ◽  
Vol 13 (2) ◽  
pp. 9-14
Author(s):  
Michael P. Tilford

1957 ◽  
Vol 10 (9) ◽  
pp. 606-607 ◽  
Author(s):  
E. F. Bertaut ◽  
J. Waser

2015 ◽  
Vol 58 (3) ◽  
pp. 543-580
Author(s):  
V. V. Bavula

AbstractThe algebra of one-sided inverses of a polynomial algebra Pn in n variables is obtained from Pn by adding commuting left (but not two-sided) inverses of the canonical generators of the algebra Pn. The algebra is isomorphic to the algebra of scalar integro-differential operators provided that char(K) = 0. Ignoring the non-Noetherian property, the algebra belongs to a family of algebras like the nth Weyl algebra An and the polynomial algebra P2n. Explicit generators are found for the group Gn of automorphisms of the algebra and for the group of units of (both groups are huge). An analogue of the Jacobian homomorphism AutK-alg (Pn) → K* is introduced for the group Gn (notice that the algebra is non-commutative and neither left nor right Noetherian). The polynomial Jacobian homomorphism is unique. Its analogue is also unique for n > 2 but for n = 1, 2 there are exactly two of them. The proof is based on the following theorem that is proved in the paper:


2009 ◽  
Vol 80 (1) ◽  
pp. 83-90 ◽  
Author(s):  
SHUDONG LIU ◽  
XIAOCHUN FANG

AbstractIn this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E∞, of the Cuntz algebra 𝒪∞ by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E∞ to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and only if they induce the same homomorphisms in K-theory.


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