In this paper, we are concerned with certain invariants of modules, called reducing invariants, which have been recently introduced and studied by Araya–Celikbas and Araya–Takahashi. We raise the question whether the residue field of each commutative Noetherian local ring has finite reducing projective dimension and obtain an affirmative answer for the question for a large class of local rings. Furthermore, we construct new examples of modules of infinite projective dimension that have finite reducing projective dimension and study several fundamental properties of reducing dimensions, especially properties under local homomorphisms of local rings.

The aim of this paper is to argue that the normative significance of the inner aspects of filial piety – in particular, filial love – is better captured when we understand filial love as part of the virtue of filial piety rather than as an object of duty. After briefly introducing the value of filial love, I argue that the idea of a duty to love one's loving parents faces serious difficulties in making sense of the normative significance of filial love. Then I show why the virtue-ethical approach to filial love, which views filial love as a constitutive part of the virtue of filial piety, can do justice to its normative significance while avoiding the difficulties.

In this paper we study the drift parameter estimation for reflected stochastic linear differential equations of a large signal. We discuss the consistency and asymptotic distributions of trajectory fitting estimator (TFE).

We propose a novel measure of the market return tail risk premium based on minimum-distance state price densities recovered from high-frequency data. The tail risk premium extracted from intra-day S&P 500 returns predicts the market equity and variance risk premiums and expected excess returns on a cross section of characteristics-sorted portfolios. Additionally, we describe the differential role of the quantity of tail risk, and of the tail premium, in shaping the future distribution of index returns. Our results are robust to controlling for established measures of variance and tail risk, and of risk premiums, in the predictive models.

How were unskilled workers selected and hired in preindustrial labor markets? We exploit records from the rebuilding of St Paul’s Cathedral, London (1672–1748), to analyze the hiring and employment histories of over 1,000 general building laborers, the benchmark category of “unskilled” workers in long-run wage series. Despite volatile demand, St Paul’s created a stable workforce by rewarding the tenure of long-standing workers. More senior workers received more days of work each month, preference when jobs were scarce, and the opportunity to earn additional income. We find the cathedral’s strategy consistent with reducing hiring frictions and turnover costs.

Uplift of the overriding plate at a subduction zone denotes interseismic strain accumulation, which is subsequently released during a megathrust earthquake. Although most interseismic strain is thought to be released elastically, observations of uplifted coastal regions at subduction zones worldwide indicate that some strain may result in permanent uplift. The Grays Harbor and Willapa Bay (Washington, USA) coastal region of the Cascadia subduction zone hosts flights of marine terraces testifying to late Pleistocene rock uplift. Our new detailed mapping of the marine terraces recognizes nine new units, including estuarine and fluvial sediments. Luminescence dating, relative age based on soil maturity and terrace elevation, and an evaluation of previous ages from fossil shells collectively constrain the probable ages of three estuarine units to sea-level high stands during Marine Isotope Stages 5a, 5c, and 5e. We estimate an average uplift rate of 0.4 ± 0.1 mm/yr for the terraced estuarine units, consistent with other Pleistocene uplift and incision rates in Cascadia. When compared with observed interseismic vertical deformation, these rates suggest that about one-tenth of interseismic strain may become permanent. The values are permissible within the uncertainties of uplift based on regional estimates of interseismic vertical strain rates and of coseismic subsidence.

This article shows that the Gospel of Truth (NHC I, 3), dense with allusions to sources now in the New Testament, most often explored for its resonances with Johannine literature, also offers significant evidence for second-century reception of Paul’s letters, while highlighting poetic images often overlooked. Correlating the language and literary structure of such Pauline passages as 1 Cor 1–6 with the opening of the Gospel of Truth shows that the latter implicitly claims to reveal the secret and primordial “wisdom of God” that Paul declares he teaches only orally to initiates (1 Cor 2:6–7). Thus, this text exemplifies a kind of “heretical” reading that heresiologists like Irenaeus deplore, when, for example, he cites this very passage to complain that “each of (the heretics) declares that this ‘wisdom’ is whatever he invents (fictionem videlicet), so that sometimes they claim that the truth is in Valentinus, or in Marcion, or in someone else …” (Haer. 3.2.1). Furthermore, this research suggests that the Gospel of Truth, narrating primordial creation, followed by a dramatic account of Christ’s incarnation and redemption, claims to offer, as the “true gospel,” a spiritual interpretation that far transcends the brief kerygmatic version set forth in 1 Cor 15:1–3. Finally, I suggest, investigating the Gospel of Truth’s interpretation of Paul’s teaching (which here includes echoes of Ephesians and Colossians) invites us to recognize elements of Paul’s letters most often overlooked. For, from patristic times to the present, exegetes who accept Irenaeus’s insistence that Paul had no secret teaching have dismissed the apostle’s emphatic claim that he did. Furthermore, those focused on dogmatic and ethical themes in Paul’s letters often miss poetic and mythological language at play in sources like the Gospel of Truth.

Although ethnic governance in the People's Republic of China is often portrayed as a matter of controlling “minority nationalities” in the country's frontier regions, the ethnic affairs bureaucracy operates in every province. The origins of “nationalities work” as a discrete domain of governance can be traced to the Chinese Communist Party's efforts to mobilize scattered Hui communities in the eastern provinces of Shandong and Hebei in the 1930s–1940s. Thanks to the initiative of Hui Communists, local Party leaders came to understand that Hui were not simply scattered but interconnected. They adapted and replicated organizational methods to exploit Hui networks for gathering intelligence, smuggling goods and penetrating enemy-controlled cities. This history offers an instructive case of adaptive governance in the revolutionary period and the role of ethnic minority cadres in policy entrepreneurship. It also underscores the importance of the Party's experience in eastern China in the study of Chinese ethnic policy.

Anti-Black language ideologies manifest in exclusionary language policies (e.g. Sung & Allen-Handy 2019), educational tracking (e.g. Sung 2018), and scholarly claims of Black ‘deficiency’ (Smitherman 2000). A liberal educational research tradition has countered with ethnographic accounts of cultural ‘mismatch’ (Michaels 2006) vis-à-vis Black educational ‘failure’. Conducting a textual analysis of an archive of ethnography of communication texts, I locate multiple genealogical linkages holding between ‘mismatch’ and deprivation discourses, principally ones centered on representations of ‘pathological’ Black ‘matriarchy’. Paralleling Black feminist theorizations of ‘fungible Black flesh’ (e.g. Hartman 1997), I account for these representations by conceptualizing ‘fungible Black sound’. I further argue that ‘fungible fugitivity’ (e.g. Snorton 2017), that is, how Blackness fluidly responds to white incursion is linguistically realized in acts of ‘signifyin(g)’ (e.g. Mitchell-Kernan 1999), yielding the analytic category ‘fungible(ly) fugitive Black sound’. Lastly, I reread an ethnographic text with this analytic to illustrate its affordance for (re)imagining Black futurity. (Black sound, fungibility, fugitivity, raciolinguistic ideologies, ethnography of communication, Black studies)*

Ten-day-old neonate who underwent correction of interrupted aortic arch developed a giant early post-surgical aneurysm. To our knowledge, this unusual complication has been only reported as a late complication.

The recent recovery of the teaching that the three divine persons share one operation in their outward works raises the question of whether or in what sense the human operation of Christ belongs to the Son alone. My thesis is that all three divine persons move and support the Son's human operation while the Son alone is the proper subject of his human operation. In order to substantiate this thesis, I will consider two main issues: (1) the relationship between divine movement and human energy and (2) the relationship between nature and person in Christ's human action.