• Title, Summary, Keyword: involution

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'Health Preservation' Resistance Against Senile Involution ('양생' 중재보진기)

  • Cui Xun;You Hee Tae
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.16 no.3
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    • pp.421-423
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    • 2002
  • Senile involution is divided into two classes : physiological senile involution and pathological senile involution. Physiological senile involution is a natural process of vital action of decreasing Vital Essence and Energy in kidney that is a necessary physiological phenomenon. Pathological senile involution is an evidence of impairment of True Qi of internal human body. Human vital action is a changing process of life, senility, sickness, and death. In other words, this is a natural process of being full and decreasing of Vital Essence and Energy in kidney, and True Qi of human body decides this process. The Vital Essence and Energy in kidney vary, and they are influenced and restricted by various elements. The time of a senile involution varies individually. Human body protects and makes efforts not to leak out True Qi in effective ways. We can postpone a limit of time of physiological senile involution phenomenon. This is called 'Health Preservation' - resistance against senile involution.

NIL-CLEAN RINGS OF NILPOTENCY INDEX AT MOST TWO WITH APPLICATION TO INVOLUTION-CLEAN RINGS

  • Li, Yu;Quan, Xiaoshan;Xia, Guoli
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.751-757
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    • 2018
  • A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most 2 is obtained, and is applied to improve a known result on involution-clean rings.

Weakly Prime Ideals in Involution po-Γ-Semigroups

  • Abbasi, M.Y.;Basar, Abul
    • Kyungpook Mathematical Journal
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    • v.54 no.4
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    • pp.629-638
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    • 2014
  • The concept of prime and weakly prime ideal in semigroups has been introduced by G. Szasz [4]. In this paper, we define the involution in po-${\Gamma}$-semigroups, then we extend some results on prime, semiprime and weakly prime ideals to the involution po-${\Gamma}$-semigroup S. Also, we characterize intra-regular involution po-${\Gamma}$-semigroups. We establish that in the involution po-${\Gamma}$-semigroup S such that the involution preserves the order, an ideal of S is prime if and only if it is both weakly prime and semiprime and if S is commutative, then the prime and weakly prime ideals of S coincide. Finally, we prove that if S is a po-${\Gamma}$-semigroup with order preserving involution, then the ideals of S are prime if and only if S is intra-regular.

NON-FINITELY BASED FINITE INVOLUTION SEMIGROUPS WITH FINITELY BASED SEMIGROUP REDUCTS

  • Lee, Edmond W.H.
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.53-62
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    • 2019
  • Recently, an infinite class of finitely based finite involution semigroups with non-finitely based semigroup reducts have been found. In contrast, only one example of the opposite type-non-finitely based finite involution semigroups with finitely based semigroup reducts-has so far been published. In the present article, a sufficient condition is established under which an involution semigroup is non-finitely based. This result is then applied to exhibit several examples of the desired opposite type.

ON AN INVOLUTION ON PARTITIONS WITH CRANK 0

  • Kim, Byungchan
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.9-15
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    • 2019
  • Kaavya introduce an involution on the set of partitions with crank 0 and studied the number of partitions of n which are invariant under Kaavya's involution. If a partition ${\lambda}$ with crank 0 is invariant under her involution, we say ${\lambda}$ is a self-conjugate partition with crank 0. We prove that the number of such partitions of n is equal to the number of partitions with rank 0 which are invariant under the usual partition conjugation. We also study arithmetic properties of such partitions and their q-theoretic implication.

CENTRALIZING AND COMMUTING INVOLUTION IN RINGS WITH DERIVATIONS

  • Khan, Abdul Nadim
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1099-1104
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    • 2019
  • In [1], Ali and Dar proved the ${\ast}$-version of classical theorem due to Posner [15, Theorem] with involution of the second kind. The main objective of this paper is to improve the above mentioned result without the condition of the second kind involution. Moreover, a related result has been discussed.

STRUCTURES OF INVOLUTION Γ-SEMIHYPERGROUPS

  • Yaqoob, Naveed;Tang, Jian;Chinram, Ronnason
    • Honam Mathematical Journal
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    • v.40 no.1
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    • pp.109-124
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    • 2018
  • In this paper, structure of involution ${\Gamma}$-semihypergroup is introduced and some theorems about this concept are stated and proved. The concept of ${\Gamma}$-hyperideal in involution ${\Gamma}$-semihypergroup is defined and some of their properties are studied. Some results on regular ${\Gamma}^*$-semihypergroups and fuzzy ${\Gamma}^*$-semihypergroups are also provided.

Expression of B Cell Activating Factor Pathway Genes in Mouse Mammary Gland

  • Choi, S.;Jung, D.J.;Bong, J.J.;Baik, M.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.2
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    • pp.153-159
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    • 2007
  • In our previous study, overexpression of extracellular proteinase inhibitor (Expi) gene accelerated apoptosis of mammary epithelial cells, and induced expression of B cell activating factor (BAFF) gene. In this study, we found induction of BAFF-receptor (BAFF-R) gene expression in the Expi-transfected cells. A proliferation-inducing ligand (APRIL) gene is another TNF family member and the closest known relative of BAFF. We found induction of APRIL gene expression in the Expi-overexpressed apoptotic cells. NF-${\kappa}$B gene was also induced in the Expi-overexpressed cells. Expression patterns of BAFF and APRIL pathway-related genes were examined in in vivo mouse mammary gland at various reproductive stages. Expression levels of BAFF gene were very low at early pregnancy, increased from mid-pregnancy, and peaked at lactation, and thereafter decreased at involution stages of mammary gland. Expression of BAFF-R gene was highly induced in involution stages compared to lactation stages. Thus, expression patterns of BAFF-R gene were correlated to apoptotic status of mammary gland: active apoptosis of mammary epithelial cells occurs at involution stage of mammary gland. Expression levels of NF-${\kappa}$B gene were higher in involution stages compared to lactation stages. We analyzed mRNA levels of bcl-2 family genes from different stages of mammary development. Bcl-2 gene expression was relatively constant during lactation and involution stages. There was a slight increase in bcl-xL gene expression in involution stages compared to lactation state. Bax gene expression was highly induced in involution stage. Our results suggest that signaling pathways activated by both BAFF and ARRIL in mammary gland point towards NF-${\kappa}$B activation which causes upregulation of bax.