We all have dreams and aspirations for our lives. Whether it's to become successful in our career, build meaningful relationships, or simply find happiness and fulfillment, we all obtain a desire to rise as a person and take our place in life. Rising as a person takes courage, determination, and a willingness to push past our comfort zones. It requires us to face our fears and insecurities, and to embrace the unknown with open arms. It's about stepping out of our comfort zones and challenging ourselves to enhance and evolve into the best possible version of ourselves. Taking our place in life means finding our purpose and living a life that aligns with our values and beliefs. It means actively pursuing our goals and ambitions, and not settling for mediocrity. It's about taking ownership of our lives and making choices that are in line with our true selves.
Ushbu ilmiy maqolada O‘zbekistonda 1991-yilda mustaqillikka erishgandan so‘ng jamoatchilik nazorati vositalarining shakllanishi va rivojlanishi ko‘rib chiqiladi. Maqolada jamoatchilik nazoratining huquqiy va institutsional asoslari, fuqarolik jamiyati tashkilotlarining roli, uni yanada mustahkamlashning vazifalari va imkoniyatlari muhokama qilinadi.
Ushbu maqolada biz. I=<f_1,…,f_s>⊂k[x_1,x_2,…,x_n ] -ideal berilgan bo‘lsin. U holda I_l ideal k[x_(l+1),…,x_n ] ning l tartibgacha yo’qotilgan ideali deyiladi. I_l=I∩k[x_(l+1),…,x_n ]. Boshqacha aytganda, I_l ideal f_1=⋯=f_s=0, tenglamalar sistemasini natijalaridir, bunda ular x_1,…,x_l ,noma’lumlarga bo‘liq bo’lmagan polinomlar. Bizning vazifa I_l ni k[x_(l+1),…,x_n ] polinomial halqaning idealini tashkil qilishini ko‘rsatish.Ushbu I=I_0, ideal nolinchi yo’qotilgan ideali deyiladi. Keyinchalik tartiblashni o‘zgartirib boshqa bir yo’qotilgan idealga ega bo‘lamiz.