Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Joachim Apel"'
Publikováno v:
Computers & Structures. 85:1293-1303
This paper describes mathematical modelling and computational tool for simulation of fracture processes of cementitious composites at the mesoscopic level. The tool relies on highly realistic 3D- and 2D-representations of the heterogeneous internal s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::113fe1f423b125d2d5538af39ec0e7ff
https://doi.org/10.1016/j.compstruc.2006.08.086
https://doi.org/10.1016/j.compstruc.2006.08.086
Autor:
Joachim Apel, Ralf Hemmecke
Publikováno v:
Journal of Symbolic Computation. 40(4-5):1131-1149
We consider the check of the involutive basis property in a polynomial context. In order to show that a finite generating set F of a polynomial ideal I is an involutive basis one must confirm two properties. Firstly, the set of leading terms of the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::418d7bbb8cdba0814ad6ff4e2314c723
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 14:1-10
In this paper it is shown that the extension ideals of polynomial prime and primary ideals in the corresponding ring of entire functions remain prime or primary, respectively. Moreover, we will prove that a primary decomposition of a polynomial ideal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b6d06557b7e665074bd80629f1ca932
https://doi.org/10.1007/s00200-003-0123-7
https://doi.org/10.1007/s00200-003-0123-7
Autor:
Joachim Apel
Publikováno v:
Journal of Algebraic Combinatorics. 17:39-56
In 1982 Richard P. Stanley conjectured that any finitely generated \Bbb Zn-graded module M over a finitely generated \Bbb Nn-graded \Bbb K-algebra R can be decomposed in a direct sum M e ⊕i e 1t νiSi of finitely many free modules νiSi which have
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48bec52970c661825a5166f63184fe82
https://doi.org/10.1023/a:1021912724441
https://doi.org/10.1023/a:1021912724441
Autor:
Joachim Apel
Publikováno v:
Journal of Algebraic Combinatorics. 17:57-74
In 1982 Richard P. Stanley conjectured that any finitely generated \Bbb Zn-graded module M over a finitely generated \Bbb Nn-graded \Bbb K-algebra R can be decomposed as a direct sum M e ⊕i e 1t νiSi of finitely many free modules νiSi which have
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a042fe208308cd3a91d7e1a18eadd32
https://doi.org/10.1023/a:1021916908512
https://doi.org/10.1023/a:1021916908512
Autor:
Joachim Apel
Publikováno v:
Theoretical Computer Science. 244(1-2):1-33
Since Buchberger introduced the theory of Gröbner bases in 1965 it has become an important tool in constructive algebra and, nowadays, Buchberger's method is fundamental for many algorithms in the theory of polynomial ideals and algebraic geometry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc6604afd15864145df39c29160ddbe1
Publikováno v:
Journal of Pure and Applied Algebra. 131:1-12
We present a method for determining the reduced Grobner basis with respect to a given admissible term order of order type ω of the intersection ideal of an infinite sequence of polynomial ideals. As an application we discuss the Lagrange type interp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96f00f5a38a902aea63bae8fffbff5a2
https://doi.org/10.1016/s0022-4049(98)00025-5
https://doi.org/10.1016/s0022-4049(98)00025-5
Publikováno v:
Journal of Pure and Applied Algebra. 110(2):113-129
We introduce a notion of Grobner reduction of everywhere convergent power series over the real or complex numbers with respect to ideals generated by polynomials and an admissible term ordering. The presented theory is situated somewhere between the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6dd129c11e4ed9d379922e4396ddd8c
Autor:
Joachim Apel
Publikováno v:
Journal of Symbolic Computation. 19:441-457
Recently, Zharkov and Blinkov introduced the notion of involutive bases of polynomial ideals. This involutive approach has its origin in the theory of partial differential equations and is a translation of results of Janet and Pommaret. In this paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac08129e542cbd2eeb3371145022b74c
https://doi.org/10.1006/jsco.1995.1026
https://doi.org/10.1006/jsco.1995.1026
Autor:
Joachim Apel, Konrad Schmüdgen
Publikováno v:
Letters in Mathematical Physics. 32:25-36
Covariant differential calculi on the quantum space\(\mathfrak{X}_{q\lambda \rho }\) for the quantum group SLq(2) are classified. Our main assumptions are thatq is not a root of unity and that the differentials dej of the generators of\(\mathfrak{X}_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d22a37f7a07a29878da9e42523c5ca1e
https://doi.org/10.1007/bf00761121
https://doi.org/10.1007/bf00761121