Results 11 to 20 of about 8,003 (214)
Commutator automorphisms of formal power series rings [PDF]
Proceedings of the American Mathematical Society, 2005 For a big class of commutative rings R R , every continuous
Gubeladze, Joseph, Mushkudiani, Zaza
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On Magnus' Freiheitssatz and free polynomial algebras [PDF]
International Journal of Group Theory, 2015 The Freiheitssatz of Magnus for one-relator groups is one of the cornerstones of combinatorial group theory. In this short note which is mostly expository we discuss the relationship between the Freiheitssatz and corre- sponding results in free power ...
Benjamin Fine +2 more
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A Comparison of Deformations and Geometric Study of Varieties of Associative Algebras
International Journal of Mathematics and Mathematical Sciences, 2007 The aim of this paper is to give an overview and to compare the different deformation theories of algebraic structures. In each case we describe the corresponding notions of degeneration and rigidity.
Abdenacer Makhlouf
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Formal power series rings over a $\pi$-domain
Journal of the European Mathematical Society, 2009 Let R be an integral domain, Χ be a set of indeterminates over R , and
Kang, BG, Oh, DY
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FACTORING POLYNOMIALS IN THE RING OF FORMAL POWER SERIES OVER ℤ [PDF]
International Journal of Number Theory, 2012 We consider polynomials with integer coefficients and discuss their factorization properties in ℤ[[x]], the ring of formal power series over ℤ. We treat polynomials of arbitrary degree and give sufficient conditions for their reducibility as power series.
Birmajer, Daniel +2 more
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Nondegenerate Ideals in Formal Power Series Rings
Rocky Mountain Journal of Mathematics, 2004 Let \(A\) be the formal power series ring \(\mathbb{C}[[x_1,\dots, x_n]]\) over \(\mathbb{C}\). For \(k=(k_1,\dots, k_n)\in \mathbb{Z}^n_+\), put \(x^k= x^{k_1}_1\cdots x^{k_n}_n\) and an element \(g= \sum a_{k_1,\dots, k_n} x^{k_1}_1\cdots x^{k_n}_n\) of \(A\) is written as \(g=\sum a_k x^k\). For an element \(g= \sum a_k x^k\) and an ideal \(I\) of \(
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
Forum of Mathematics, SigmaLet ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ .
Marc Besson, Jiuzu Hong
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Catenarity of formal power series rings over a pullback
Journal of Pure and Applied Algebra, 1992 Let \((T,M,K)\) be a quasi local domain with maximal ideal \(M\) and residue class field \(K\). If \(\varphi\) is the natural surjection of \(T\) on \(K\), for any subring \(D\) of \(K\), \(\varphi^{-1}(D)=R\) is called the pull back. The main interest of the authors is in finding conditions for \(R[[X_ 1,\dots,X_ n]]\) catenarian.
ANDERSON DF +3 more
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FEBS Open Bio, EarlyView.Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
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