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1. Stellensätze for matrices over a commutative ring.

Author

Xiao, Shuijing, Zeng, Xiaoning, and Zeng, Guangxing

Subjects
*COMMUTATIVE rings, *RING theory, *MATRICES (Mathematics), *ARTIN rings, *MATHEMATICS
Abstract

The purpose of this paper is to establish a real Nullstellensatz, a Positivstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring. The Stellensätze in this paper may be regarded as certain generalizations of the abstract Stellensätze for commutative rings. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Canonical bases of modified quantum algebras for type.

Author

Cui, Weideng

Subjects
*QUANTUM groups, *MATRICES (Mathematics), *MODULES (Algebra), *LATTICE theory, *MATHEMATICS
Abstract

The modified quantum algebra associated to a quantum algebra was introduced by Lusztig. has a remarkable basis, which was defined by Lusztig, called the canonical basis. In this paper, we give an explicit description of all elements of the canonical basis of for type . [ABSTRACT FROM AUTHOR]

Published
2018
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