The deformation cohomology of a tensor category controls deformations of its monoidal structure. Here we describe the deformation cohomology of tensor categories generated by one object (the so-called Schur-Weyl categories). Using this description we compute the deformation cohomology of free symmetric tensor categories generated by one object with an algebra of endomorphism free of zero-divisors. We compare the answers with the exterior invariants of the general linear Lie algebra.1 the deformation cohomology of a tensor category is sometimes called its Davydov-Yetter cohomology.

Equine endometritis is one of the most common causes of reproduction failure. To achieve better treatment outcomes, different diagnostic methods should be combined. In the current study, 39 repeat breeder mares were subjected to ultrasonography examination to detect excessive accumulation of intrauterine fluids and an abnormal oedema pattern, which revealed that 61.5% of mares were positive. Combined with endometrial cytology by low‐volume uterine flush, 47.7% of smears contain neutrophils (more than 2–3 per HPF X100), and microbial culture. 92.3% of mares were infected with different bacterial isolates, such as Escherichia coli, Streptococci, Staphylococcus, Klebsiella pneumoniae, Klebsiella oxytoca, Citrobacter freundii, Providencia alcalifaciens, and Proteus mirabilis. All mares were given saline solution and gravity withdrawal before being given 20 IU of oxytocin (as ecbolic agents). Mares were divided into three groups; Group one (n = 15) received an intrauterine infusion of 20 mL of freshly prepared autologous platelet‐rich plasma (PRP) 6 h after breeding, Group two (n = 15) was treated with three doses of systemic Enrofloxacin 5% during the estrus period, and Group three (n = 9) received only uterine lavage and 20 IU of oxytocin. PRP and Enrofloxacin resulted in a significant (p < .05) reduction in endometrial thickness (oedema; 5.05 and 6.74 mm, respectively) and disappearance of intrauterine fluids compared to the control (10.98 mm). Furthermore, PRP (days) and Enrofloxacin (17.89 days) reduced the days to the next oestrus compared to the control (18.58 and 17.89 vs. 21.19 days, respectively). Furthermore, the pregnancy rate improved to reach 70% in the PRP group and 60% in the Enrofloxacin group, while the control remained low at 22%. In conclusion, autologous PRP can be used as a low‐cost alternative therapy for modulating the inflammatory process and effectively treating mares' endometritis.

The study aimed to compare vitrified medium (Soya lecithin 1% and 0.25 M sucrose) with tris-citric acid fructose-egg yolk 20%-glycerol 3% (TCF-EY-GL) for freezing of canine semen and assess the impact of adding ascorbic acid to both extenders on the post-thawing semen quality. Semen was collected from 3 healthy and fertile German shepherd dogs by digital manipulation and stimulation of the bulbus glandis. Collected semen was initially evaluated by a computerized assisted semen analyzer (CASA). Ejaculates from the dogs were pooled and divided into 4 equal parts and diluted 1:1 with the following 4 extenders: TCF-EY-GL with ascorbic acid (Ex1), TCF-EY-GL without ascorbic acid (Ex2), vitrified medium with ascorbic acid (Ex3) and vitrified medium without ascorbic acid (Ex4). The extended semen allowed for equilibrating for 1 h in a refrigerator set at 4 ºC then packed into 0.5ml straws. Straws containing semen diluted in Ex1 and2 were frozen by the conventional method however, those containing semen diluted in Ex3 and Ex4 (vitrified media) were plunged directly in liquid nitrogen. Semen samples were evaluated by CASA immediately after thawing. Results revealed that progressive motility, normal morphology, and acrosome integrity were significantly higher in vitrified medium (Soya lecithin 1% and 0.25 M sucrose) than those obtained in TCF-EY-glycerol however, plasma membrane integrity was significantly improved in TCF-EY-GL compared with that observed in the vitrified medium. Addition of ascorbic acids to vitrified medium and TCF-EY-GL resulted in a significant increase in all semen quality parameters. Total sperm motility, progressive motility, and normal sperm morphology were significantly higher in vitrified medium with ascorbic acid than those observed in TCF-EY-GL with ascorbic acid. It was concluded that the addition of ascorbic acid to vitrified medium or TCF-EY-GL extender resulted in significant improvement in postthawing canine semen quality and the vitrified medium can be used as a good alternative for TCF-EY-GL extender to facilitate freezing and avoid undesirable use of EY.

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