Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...

ABSTRACT: The paper presents some results on partially ordered rings. In section 2, it is shown that Archimedean directed maximal partial orders on integral domains must be total orders. Section 3 ...

Abstract: In this paper, we study generalized Reed-Solomon codes (GRS codes) over commutative and noncommutative rings, we show that the classical Welch-Berlekamp and Guruswami-Sudan decoding ...

Abstract: In this paper, it is shown that some results in the theory of rank-metric codes over finite fields can be extended to finite commutative principal ideal rings. More precisely, the rank ...

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