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Aljabar Semiprima Mendasar Dan Aplikasinya Pada Protokol Autentikasi, Khurul Wardati, Muhammad Zaki Riyanto
Aljabar Semiprima Mendasar Dan Aplikasinya Pada Protokol Autentikasi, Khurul Wardati, Muhammad Zaki Riyanto
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Library research dengan pendekatan deduksi-induksi ini bertujuan untuk mengkaji kesemiprimaan mendasar aljabar tak bebas yang dibangun secara hingga atas ring komutatif unital. Tujuan secara praktis penelitian ini adalah mengaplikasikan suatu contoh aljabar semiprima mendasar yang non-komutatif pada protokol autentikasi berdasarkan masalah dekomposisi. Di samping itu, aljabar semiprima mendasar lebih umum dari aljabar semiprima, hal ini ditunjukkan dengan suatu contoh penyangkal. Hasil utama dari penelitian ini adalah suatu aljabar yang dibangun secara hingga bersifat semiprima mendasar jika dan hanya jika ideal dasar nol merupakan irisan dari semua ideal dasar prima. Lebih lanjut ideal dasar nol merupakan satu-satunya ideal dasar nilpoten. Syarat …
Minimal Generators Of Annihilators Of Even Neat Elements In The Exterior Algebra Footnotesize, Songül Esi̇n
Minimal Generators Of Annihilators Of Even Neat Elements In The Exterior Algebra Footnotesize, Songül Esi̇n
Turkish Journal of Mathematics
This paper deals with an exterior algebra of a vector space whose base field is of positive characteristic. In this work, a minimal set of generators forming the annihilator of even neat elements of such an exterior algebra is exhibited. The annihilator of some special type of even neat elements is determined to prove the conjecture established in [3]. Moreover, a vector space basis for the annihilators under consideration is calculated.
Structure Of Annihilators Of Powers, Jongwook Baeck, Nam Kyun Kim, Tai Keun Kwak, Yang Lee
Structure Of Annihilators Of Powers, Jongwook Baeck, Nam Kyun Kim, Tai Keun Kwak, Yang Lee
Turkish Journal of Mathematics
We study the following two conditions in rings: (i) the right annihilator of some power of any element is an ideal, and (ii) the right annihilator of any nonzero element $a$ contains an ideal generated by some power of any right zero-divisor of the element $a$. We investigate the structure of rings in relation to these conditions; especially, a ring with the condition (ii) is called right APIP. These conditions are shown to be not right-left symmetric. For a prime two-sided APIP ring $R$ we prove that every element of $R$ is either nilpotent or regular, and that if $R$ …