Zobrazeno 1 - 10
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pro vyhledávání: '"prakash, Om"'
This work introduces a novel approach to constructing DNA codes from linear codes over a non-chain extension of $\mathbb{Z}_4$. We study $(\text{\textbaro},\mathfrak{d}, \gamma)$-constacyclic codes over the ring $\mathfrak{R}=\mathbb{Z}_4+\omega\math
Externí odkaz:
http://arxiv.org/abs/2412.10212
This paper explores the behaviour of commuting Jordan derivations over prime rings with non-trivial idempotents and demonstrates that they become zero maps. Further, it establishes this result for commuting Jordan higher derivations over prime rings
Externí odkaz:
http://arxiv.org/abs/2412.09300
Let $\mathcal A$ the affine algebra given by the ring $\mathbb{F}_q[X_1,X_2,\ldots,X_\ell]/ I$, where $I$ is the ideal $\langle t_1(X_1), t_2(X_2), \ldots, t_\ell(X_\ell) \rangle$ with each $t_i(X_i)$, $1\leq i\leq \ell$, being a square-free polynomi
Externí odkaz:
http://arxiv.org/abs/2412.08512
Autor:
Kumar, Ravindra, Prakash, Om
For a graph $G= (V, E)$, a Roman dominating function is a map $f : V \rightarrow \{0, 1, 2\}$ satisfies the property that if $f(v) = 0$, then $v$ must have adjacent to at least one vertex $u$ such that $f(u)= 2$. The weight of a Roman dominating func
Externí odkaz:
http://arxiv.org/abs/2412.07510
Autor:
Chwiedziuk, Ondřej, Doležálek, Matěj, Hlavinková, Simona, Pěchoučková, Emma, Pezlar, Zdeněk, Prakash, Om, Růžičková, Anna, Zindulka, Mikuláš
We consider generalized quadratic forms over real quadratic number fields and prove, under a natural positive-definiteness condition, that a generalized quadratic form can only be universal if it contains a quadratic subform that is universal. We als
Externí odkaz:
http://arxiv.org/abs/2409.07941
Autor:
Prakash, Om
Let $K$ be a totally real number field, $d$ a positive integer, and $Q$ a higher degree form over $K$. We prove that there are at most finitely many totally real extensions $L/K$ of degree $d$ such that $Q$ over $L$ is universal. Further, we show tha
Externí odkaz:
http://arxiv.org/abs/2407.19974
Autor:
Prakash, Om, T, Abhijith, Nagpal, Priya, Perumal, Vivekanandan, Karak, Supravat, Singh, Udai B., Ghosh, Santanu
Recent advancements in nanotechnology have led to the development of surface-enhanced Raman spectroscopy (SERS) based rapid and low-cost technologies for ultra-sensitive label-free detection and identification of molecular analytes. Herein, we utiliz
Externí odkaz:
http://arxiv.org/abs/2406.13591
Autor:
Kala, Vitezslav, Prakash, Om
We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava-Hanke.
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Externí odkaz:
http://arxiv.org/abs/2405.10660
Statistical analysis of high-frequency stock market order transaction data is conducted to understand order transition dynamics. We employ a first-order time-homogeneous discrete-time Markov chain model to the sequence of orders of stocks belonging t
Externí odkaz:
http://arxiv.org/abs/2405.05634