in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

Two recent Phase III clinical trials to investigate an intravaginal ring for preventing HIV infection demonstrated that adherence to prescribed device use was a primary driver of efficacy. Surrogate methods for determining adherence in the studies were limited in their inability to monitor temporal patterns of use and allow deconvolution of the effects of adherence and device efficacy on HIV in...

The pudendal nerve primarily innervates the perineum. This nerve can be gradually stretched and damaged by vaginal deliveries (esp. traumatic births), prolapse of pelvic organs and by pelvic floor descent. This leads to unior bilateral pudendal nerve damage. A direct lesion of the pudendal nerve is rare as it lies deep in the pelvis and is well protected by the pelvic ring. It can be injured ho...

We present two cases of occult gastric carcinoma associated to a large pulmonary tumors thrombosis microangiopathy (PTTM). The first case is a 28 years-old man. He was dead due to a respiratory failure. Autopsy showed a whitish indurated mass invading the stomach wall. Histological findings showed a primary "signet ring" gastric adenocarcinoma with pulmonary carcinomatosis and multiple PTTM and...

Microbicides, primarily used as topical pre-exposure prophylaxis, have been proposed to prevent sexual transmission of HIV. This review covers the trends and challenges in the development of safe and effective microbicides to prevent sexual transmission of HIV Initial phases of microbicide development used such surfactants as nonoxynol-9 (N-9), C13G, and sodium lauryl sulfate, aiming to inactiv...

INTRODUCTION The effectiveness of HIV pre-exposure prophylaxis (PrEP) requires consistent and correct product use, thus a deeper understanding of women's stated product formulation preferences, and the correlates of those preferences, can help guide future research. VOICE-D (MTN-003D), a qualitative ancillary study conducted after the VOICE trial, retrospectively explored participants' tablet a...

INTRODUCTION The customs of widow cleansing and widow inheritance are practiced in several communities throughout sub-Saharan Africa. In the Nyanza Province of Kenya, according to tradition, Luo widows are expected to engage in sexual intercourse with a "cleanser," without the use of a condom, in order to remove the impurity ascribed to her after her husband's death. Luo couples, including wido...

in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.