LAUSR

Standard Bases for Tensor Products of Exterior Powers

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1 Published in 2019 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-019-09869-5

Abstract: For n ≥ a ≥ b , the tensor product V = ∧ a ( ℂ n ) ⊗ ∧ b ( ℂ n ) $V=\bigwedge ^{a}(\mathbb {C}^{n})\otimes \bigwedge ^{b}(\mathbb {C}^{n})$ has a natural filtration… read more here.

Keywords: tensor; bases tensor; standard bases; products exterior ... See more keywords

Artin-Schelter regularity of twisted tensor products

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0 Published in 2018 at "Frontiers of Mathematics in China"

DOI: 10.1007/s11464-018-0726-8

Abstract: We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Ore extensions… read more here.

Keywords: tensor products; twisted tensor; schelter regularity; artin schelter ... See more keywords

Coherence invariant maps on tensor products

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0 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2016.11.023

Abstract: Abstract In 1940s, Hua established the fundamental theorem of geometry of rectangular matrices which describes the general form of coherence invariant bijective maps on the space of all matrices of a given size. In 1955,… read more here.

Keywords: tensor products; coherence invariant; coherence; maps tensor ... See more keywords

Additive decomposability preservers and related results on tensor products of matrices

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0 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2016.12.037

Abstract: Abstract In this paper we characterize additive maps between tensor spaces that send decomposable tensors to decomposable tensors. As an application, we classify all additive maps from tensor products of spaces of rectangular matrices to… read more here.

Keywords: tensor products; related results; additive decomposability; decomposability preservers ... See more keywords

Biderivations on tensor products of algebras

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0 Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2017.1355375

Abstract: ABSTRACT Let A be a noncommutative unital prime algebra and let S be a commutative unital algebra over a field ????. We describe the form of biderivations of the algebra A⊗S. As an application, we… read more here.

Keywords: tensor products; products algebras; biderivations tensor;

Tensor products and direct limits of almost Cohen–Macaulay modules

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1 Published in 2018 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498818502213

Abstract: We investigate the almost Cohen–Macaulay property and the Serre-type condition [Formula: see text] for noetherian algebras and modules. More precisely, we find permanence properties of these conditions with respect to tensor products and direct limits. read more here.

Keywords: tensor products; direct limits; cohen macaulay; products direct ... See more keywords

Twisted tensor products of φ-coordinated modules for nonlocal vertex algebras

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0 Published in 2019 at "Forum Mathematicum"

DOI: 10.1515/forum-2019-0165

Abstract: Abstract We study twisted tensor products of ϕ-coordinated modules of nonlocal vertex algebras. Furthermore, we introduce the notion of ϕ-coordinated module twistor for a ϕ-coordinated module of a nonlocal vertex algebra. read more here.

Keywords: tensor products; coordinated modules; products coordinated; twisted tensor ... See more keywords

Orderly Exact Calculation of Integrals of Products of Functions by the Method of Tensor Products of Functionals

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1 Published in 2019 at "Russian Mathematics"

DOI: 10.3103/s1066369x19110124

Abstract: We study approximate calculation of integrals of products of two functions by the method of tensor products of functionals. Under the assumption that one of them belongs to the Sobolev class with the dominant mixed… read more here.

Keywords: tensor products; calculation integrals; method tensor; products functionals ... See more keywords