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2-absorbing $I$-prime and 2-absorbing $I$-second submodules

Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this paper, we will introduce the notions of 2-absorbing $I$-prime and 2-absorbing $I$-second submodules of an $R$-module $M$ as a generalization of 2-absorbing and strongly 2-absorbing second submodules of $M$ and explore some basic properties of these classes of modules.

I-24: Endometriosis and Infertility

I-32: Implantation and Recurrent PregnancyLoss

Background: Recurrent pregnancy loss (RPL), defined as 3 or more consecutive pregnancy failures, is a common and distressing disorder. Chromosome instability in the conceptus is the most common cause whereas uterine factors are invariably invoked to explain nonchromosomal miscarriages. These uterine factors are, however, poorly defined. Materials amd Methods: Laboratory-based analysis of endome...

I-13: Blastocyst Culture and Freezing

It should now be beyond doubt that blastocyst culture results in better pregnancy rate (PR). This calls for fewer embryos to be transferred, and indeed blastocyst culture is of most value when the intention is to put back one embryo at a time. The PR with one top-grade blastocyst is 45-65% in different studies. If two top-grade blastocysts are transferred, the PR usually does not differ, but th...

I-38: Uterine Abnormally and Infertility

Congenital anomalies of the Müllerian ducts especially uterine abnormalities can affect negatively the different stages of fertility interfering with sperm migration, embryo implantation, normal placentation, fetal growth and achievement of a successful pregnancy. They are present in 2-10% of all women, three times greater in patients with recurrent pregnancy loss and lead to infertility and ad...