### Abstract

In this paper, we consider the finite connected quiver Q having two subquivers Q ^{(1)}and Q ^{(2)}with (Formula presented.). Suppose that Q ^{(i)}is not a subquiver of Q ^{(j)}where {i, j} = {1, 2}. For a monomial algebra Λ =kQ/I obtained by the quiver Q, when the associated sequence of paths given by Minsharp _{<}(I) satisfies a certain separability condition, we propose the method so that we easily construct a minimal projective resolution of Λ as a right Λ^{e}-module and calculate the Hochschild cohomology group of Λ.

Original language | English |
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Pages (from-to) | 2282-2292 |

Number of pages | 11 |

Journal | Communications in Algebra |

Volume | 43 |

Issue number | 6 |

DOIs | |

Publication status | Published - 3 Jun 2015 |

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### Keywords

- Associated sequence of path
- Hochschild cohomology
- Monomial algebra
- Path algebra