The Golod property of powers of the maximal ideal of a local ring
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DOI: 10.1007/s00013-018-1152-6
Abstract: We identify minimal cases in which a power $$\mathfrak {m}^i\not =0$$mi≠0 of the maximal ideal of a local ring R is not Golod, i.e. the quotient ring $$R/\mathfrak {m}^i$$R/mi is not Golod. Complementary to a… read more here.
Keywords: ideal local; maximal ideal; mathfrak; ring golod ... See more keywords
A new technique of frequency domain watermarking based on a local ring
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DOI: 10.1007/s11276-017-1606-y
Abstract: This paper presents a new and comparatively secure watermarking technique, in the frequency domain. Our scheme deploys a local ring-based substitution box (S-box). The algebraic algorithm used to synthesize S-box basically exploits one–one correspondence between… read more here.
Keywords: frequency domain; box; technique; local ring ... See more keywords
Standard Bases for fractional ideals of the local ring of an algebroid curve
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DOI: 10.1016/j.jalgebra.2020.01.018
Abstract: In this paper we present an algorithm to compute a Standard Basis for a fractional ideal $\mathcal{I}$ of the local ring $\mathcal{O}$ of an $n$-space algebroid curve with several branches. This allows us to determine… read more here.
Keywords: fractional ideals; algebroid curve; standard bases; bases fractional ... See more keywords
Entropy in the category of perfect complexes with cohomology of finite length
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DOI: 10.1016/j.jpaa.2018.09.008
Abstract: Abstract Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are compared. Local entropy is shown to be less than or equal… read more here.
Keywords: category; entropy; finite length; local entropy ... See more keywords
Unravelling the local ring-like atomic pattern of twin boundary in an Mg-Zn-Y alloy
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DOI: 10.1080/14786435.2018.1539262
Abstract: ABSTRACT Understanding the interactions between deformation twins and plate-like phases in magnesium alloys is one of the key issues to tailor the microstructure of magnesium alloys for better mechanical properties. The {102} twin boundary with… read more here.
Keywords: atomic pattern; like atomic; twin boundary; ring like ... See more keywords