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Recent extensive observations of Type Ia Supernovae (SNe Ia) have revealedthe existence of a diversity of SNe Ia, including SNe Iax. We introduce twopossible channels in the single degenerate scenario: 1) double detonations insub-Chandrasekhar (Ch) mass CO white dwarfs (WDs), where a thin He envelope isdeveloped with relatively low accretion rates after He novae even at lowmetallicities, and 2) carbon deflagrations in Ch-mass possibly hybrid C+O+NeWDs, where WD winds occur at [Fe/H] ~ -2.5 at high accretion rates. Thesesubclasses of SNe Ia are rarer than `normal' SNe Ia and do not affect thechemical evolution in the solar neighborhood, but can be very important inmetal-poor systems with stochastic star formation. In dwarf spheroidal galaxiesin the Local Group, the decrease of [\alpha/Fe] ratios at [Fe/H] ~ -2 to -1.5can be produced depending on the star formation history. SNe Iax give high[Mn/Fe], while sub-Ch-mass SNe Ia give low [Mn/Fe], and thus a model includinga mix of the two is favoured by the available observations.

Subclasses of Type Ia Supernovae as the origin of [\alpha/Fe] ratios in dwarf spheroidal galaxies