• 제목/요약/키워드: exact sequence

검색결과 192건 처리시간 0.021초

Effective Biological Sequence Alignment Method using Divide Approach

  • 최해원;김상진;피수영
    • 한국산업정보학회논문지
    • /
    • 제17권6호
    • /
    • pp.41-50
    • /
    • 2012
  • This paper presents a new sequence alignment method using the divide approach, which solves the problem by decomposing sequence alignment into several sub-alignments with respect to exact matching subsequences. Exact matching subsequences in the proposed method are bounded on the generalized suffix tree of two sequences, such as protein domain length more than 7 and less than 7. Experiment results show that protein sequence pairs chosen in PFAM database can be aligned using this method. In addition, this method reduces the time about 15% and space of the conventional dynamic programming approach. And the sequences were classified with 94% of accuracy.

A sequence of homotopy subgroups of a CW-pair

  • Woo, Moo-Ha
    • 대한수학회논문집
    • /
    • 제11권1호
    • /
    • pp.235-244
    • /
    • 1996
  • For a self-map f of a CW-pair (X, A), we introduce the G(f)-sequence of (X, A) which consists of subgroups of homotopy groups in the homotopy sequence of (X, A) and show some properties of the relative homotopy Jian groups. We also show a condition for the G(f)-sequence to be exact.

  • PDF

THE HOMOLOGY REGARDING TO E-EXACT SEQUENCES

  • Ismael Akray;Amin Mahamad Zebari
    • 대한수학회논문집
    • /
    • 제38권1호
    • /
    • pp.21-38
    • /
    • 2023
  • Let R be a commutative ring with identity. Let R be an integral domain and M a torsion-free R-module. We investigate the relation between the notion of e-exactness, recently introduced by Akray and Zebari [1], and generalized the concept of homology, and establish a relation between e-exact sequences and homology of modules. We modify some applications of e-exact sequences in homology and reprove some results of homology with e-exact sequences such as horseshoe lemma, long exact sequences, connecting homomorphisms and etc. Next, we generalize two special drived functor T or and Ext, and study some properties of them.

E-DEPTHS AND T-CODEPTHS OF MODULES

  • Chung, Sang-Cho;Park, Jun-Seok
    • 대한수학회보
    • /
    • 제35권2호
    • /
    • pp.363-374
    • /
    • 1998
  • We investigate relationships of E-depths and T-codepths of modules in s short exact exact sequence. We give E-depths and T-codepths of some modules.

  • PDF

TATE-SHAFAREVICH GROUPS OVER THE COMMUTATIVE DIAGRAM OF 8 ABELIAN VARIETIES

  • Hoseog Yu
    • 호남수학학술지
    • /
    • 제45권3호
    • /
    • pp.410-417
    • /
    • 2023
  • Suppose that there are 8 abelian varieties defined over a number field K which satisfy a commutative diagram. We show that if we know that three out of four short exact sequences satisfy the rate formula of Tate-Shafarevich groups, then the unknown short exact sequence satisfies the rate formula of Tate-Shafarevich groups, too.

ON UNIFORMLY S-ABSOLUTELY PURE MODULES

  • Xiaolei Zhang
    • 대한수학회지
    • /
    • 제60권3호
    • /
    • pp.521-536
    • /
    • 2023
  • Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we introduce and study the notions of u-S-pure u-S-exact sequences and uniformly S-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then we characterize uniformly S-von Neumann regular rings and uniformly S-Noetherian rings using uniformly S-absolutely pure modules.

EXACT SEQUENCES FOR SUMS OF PAIRWISE I.I.D. RANDOM VARIABLES

  • Hong, Dug-Hun;Park, Jin-Myung
    • 대한수학회보
    • /
    • 제30권2호
    • /
    • pp.167-170
    • /
    • 1993
  • In this paper, X, X$_{1}$, X$_{2}$, .. will denote any sequence of pairwise independent random variables with common distribution, and b$_{1}$, b$_{2}$.. will denote any sequence of constants. Using Chung [2, Theorem 4.2.5] and the same idea as in Chow and Robbins [1, Lemma 1 and 2] we have the following lemma.

  • PDF